Finding the Third Proportional to 57,229 and 65,572

Step by Step Solution

1. Step 1: Write the proportion equation
   57,229 : 65,572 = 65,572 : x
2. Step 2: Convert to fraction form
   57,229/65,572 = 65,572/x
3. Step 3: Cross multiply
   57,229x = 65,572 × 65,572
4. Step 4: Simplify right side
   57,229x = 4,299,687,184
5. Step 5: Solve for x
   x = 4,299,687,184/57,229
6. Step 6: Final answer
   x = 75,131.27