Finding the Third Proportional to 36,950 and 76,528

Step by Step Solution

1. Step 1: Write the proportion equation
   36,950 : 76,528 = 76,528 : x
2. Step 2: Convert to fraction form
   36,950/76,528 = 76,528/x
3. Step 3: Cross multiply
   36,950x = 76,528 × 76,528
4. Step 4: Simplify right side
   36,950x = 5,856,534,784
5. Step 5: Solve for x
   x = 5,856,534,784/36,950
6. Step 6: Final answer
   x = 158,498.91