Finding the Third Proportional to 42,522 and 89,655

Step by Step Solution

1. Step 1: Write the proportion equation
   42,522 : 89,655 = 89,655 : x
2. Step 2: Convert to fraction form
   42,522/89,655 = 89,655/x
3. Step 3: Cross multiply
   42,522x = 89,655 × 89,655
4. Step 4: Simplify right side
   42,522x = 8,038,019,025
5. Step 5: Solve for x
   x = 8,038,019,025/42,522
6. Step 6: Final answer
   x = 189,032.01