Finding the Third Proportional to 55,522 and 84,665

Step by Step Solution

1. Step 1: Write the proportion equation
   55,522 : 84,665 = 84,665 : x
2. Step 2: Convert to fraction form
   55,522/84,665 = 84,665/x
3. Step 3: Cross multiply
   55,522x = 84,665 × 84,665
4. Step 4: Simplify right side
   55,522x = 7,168,162,225
5. Step 5: Solve for x
   x = 7,168,162,225/55,522
6. Step 6: Final answer
   x = 129,104.90