Finding the Third Proportional to 57,627 and 85,114

Step by Step Solution

1. Step 1: Write the proportion equation
   57,627 : 85,114 = 85,114 : x
2. Step 2: Convert to fraction form
   57,627/85,114 = 85,114/x
3. Step 3: Cross multiply
   57,627x = 85,114 × 85,114
4. Step 4: Simplify right side
   57,627x = 7,244,392,996
5. Step 5: Solve for x
   x = 7,244,392,996/57,627
6. Step 6: Final answer
   x = 125,711.78