Finding the Third Proportional to 37,684,662 and 82,801,182

Step by Step Solution

1. Step 1: Write the proportion equation
   37,684,662 : 82,801,182 = 82,801,182 : x
2. Step 2: Convert to fraction form
   37,684,662/82,801,182 = 82,801,182/x
3. Step 3: Cross multiply
   37,684,662x = 82,801,182 × 82,801,182
4. Step 4: Simplify right side
   37,684,662x = 6,856,035,740,597,124
5. Step 5: Solve for x
   x = 6,856,035,740,597,124/37,684,662
6. Step 6: Final answer
   x = 181,931,729.69