Finding the Third Proportional to 35,742 and 52,572

Step by Step Solution

1. Step 1: Write the proportion equation
   35,742 : 52,572 = 52,572 : x
2. Step 2: Convert to fraction form
   35,742/52,572 = 52,572/x
3. Step 3: Cross multiply
   35,742x = 52,572 × 52,572
4. Step 4: Simplify right side
   35,742x = 2,763,815,184
5. Step 5: Solve for x
   x = 2,763,815,184/35,742
6. Step 6: Final answer
   x = 77,326.82