Finding the Third Proportional to 55,496 and 85,674

Step by Step Solution

1. Step 1: Write the proportion equation
   55,496 : 85,674 = 85,674 : x
2. Step 2: Convert to fraction form
   55,496/85,674 = 85,674/x
3. Step 3: Cross multiply
   55,496x = 85,674 × 85,674
4. Step 4: Simplify right side
   55,496x = 7,340,034,276
5. Step 5: Solve for x
   x = 7,340,034,276/55,496
6. Step 6: Final answer
   x = 132,262.40