Finding the Third Proportional to 49,531.50 and 96,582.38

Step by Step Solution

1. Step 1: Write the proportion equation
   49,531.50 : 96,582.38 = 96,582.38 : x
2. Step 2: Convert to fraction form
   49,531.50/96,582.38 = 96,582.38/x
3. Step 3: Cross multiply
   49,531.50x = 96,582.38 × 96,582.38
4. Step 4: Simplify right side
   49,531.50x = 9,328,155,160.64
5. Step 5: Solve for x
   x = 9,328,155,160.64/49,531.50
6. Step 6: Final answer
   x = 188,327.73