Finding the Third Proportional to 46,407 and 72,382.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,407 : 72,382.50 = 72,382.50 : x
2. Step 2: Convert to fraction form
   46,407/72,382.50 = 72,382.50/x
3. Step 3: Cross multiply
   46,407x = 72,382.50 × 72,382.50
4. Step 4: Simplify right side
   46,407x = 5,239,226,306.25
5. Step 5: Solve for x
   x = 5,239,226,306.25/46,407
6. Step 6: Final answer
   x = 112,897.33