Finding the Third Proportional to 36,582 and 49,687.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,582 : 49,687.50 = 49,687.50 : x
2. Step 2: Convert to fraction form
   36,582/49,687.50 = 49,687.50/x
3. Step 3: Cross multiply
   36,582x = 49,687.50 × 49,687.50
4. Step 4: Simplify right side
   36,582x = 2,468,847,656.25
5. Step 5: Solve for x
   x = 2,468,847,656.25/36,582
6. Step 6: Final answer
   x = 67,488.04