Finding the Third Proportional to 35,668 and 56,528

Step by Step Solution

1. Step 1: Write the proportion equation
   35,668 : 56,528 = 56,528 : x
2. Step 2: Convert to fraction form
   35,668/56,528 = 56,528/x
3. Step 3: Cross multiply
   35,668x = 56,528 × 56,528
4. Step 4: Simplify right side
   35,668x = 3,195,414,784
5. Step 5: Solve for x
   x = 3,195,414,784/35,668
6. Step 6: Final answer
   x = 89,587.72