Finding the Third Proportional to 37,662 and 55,341

Step by Step Solution

1. Step 1: Write the proportion equation
   37,662 : 55,341 = 55,341 : x
2. Step 2: Convert to fraction form
   37,662/55,341 = 55,341/x
3. Step 3: Cross multiply
   37,662x = 55,341 × 55,341
4. Step 4: Simplify right side
   37,662x = 3,062,626,281
5. Step 5: Solve for x
   x = 3,062,626,281/37,662
6. Step 6: Final answer
   x = 81,318.74