Finding the Third Proportional to 37,834.50 and 82,221

Step by Step Solution

1. Step 1: Write the proportion equation
   37,834.50 : 82,221 = 82,221 : x
2. Step 2: Convert to fraction form
   37,834.50/82,221 = 82,221/x
3. Step 3: Cross multiply
   37,834.50x = 82,221 × 82,221
4. Step 4: Simplify right side
   37,834.50x = 6,760,292,841
5. Step 5: Solve for x
   x = 6,760,292,841/37,834.50
6. Step 6: Final answer
   x = 178,680.64