Finding the Third Proportional to 36,591.25 and 76,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,591.25 : 76,053.50 = 76,053.50 : x
2. Step 2: Convert to fraction form
   36,591.25/76,053.50 = 76,053.50/x
3. Step 3: Cross multiply
   36,591.25x = 76,053.50 × 76,053.50
4. Step 4: Simplify right side
   36,591.25x = 5,784,134,862.25
5. Step 5: Solve for x
   x = 5,784,134,862.25/36,591.25
6. Step 6: Final answer
   x = 158,074.26