Finding the Third Proportional to 55,676 and 83,510

Step by Step Solution

1. Step 1: Write the proportion equation
   55,676 : 83,510 = 83,510 : x
2. Step 2: Convert to fraction form
   55,676/83,510 = 83,510/x
3. Step 3: Cross multiply
   55,676x = 83,510 × 83,510
4. Step 4: Simplify right side
   55,676x = 6,973,920,100
5. Step 5: Solve for x
   x = 6,973,920,100/55,676
6. Step 6: Final answer
   x = 125,259.00