Finding the Third Proportional to 36,737.50 and 76,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,737.50 : 76,653.50 = 76,653.50 : x
2. Step 2: Convert to fraction form
   36,737.50/76,653.50 = 76,653.50/x
3. Step 3: Cross multiply
   36,737.50x = 76,653.50 × 76,653.50
4. Step 4: Simplify right side
   36,737.50x = 5,875,759,062.25
5. Step 5: Solve for x
   x = 5,875,759,062.25/36,737.50
6. Step 6: Final answer
   x = 159,939.00