Finding the Third Proportional to 62,820 and 82,566

Step by Step Solution

1. Step 1: Write the proportion equation
   62,820 : 82,566 = 82,566 : x
2. Step 2: Convert to fraction form
   62,820/82,566 = 82,566/x
3. Step 3: Cross multiply
   62,820x = 82,566 × 82,566
4. Step 4: Simplify right side
   62,820x = 6,817,144,356
5. Step 5: Solve for x
   x = 6,817,144,356/62,820
6. Step 6: Final answer
   x = 108,518.69