Finding the Third Proportional to 35,752 and 54,572

Step by Step Solution

1. Step 1: Write the proportion equation
   35,752 : 54,572 = 54,572 : x
2. Step 2: Convert to fraction form
   35,752/54,572 = 54,572/x
3. Step 3: Cross multiply
   35,752x = 54,572 × 54,572
4. Step 4: Simplify right side
   35,752x = 2,978,103,184
5. Step 5: Solve for x
   x = 2,978,103,184/35,752
6. Step 6: Final answer
   x = 83,298.93