Finding the Third Proportional to 49,664.25 and 75,642.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,664.25 : 75,642.75 = 75,642.75 : x
2. Step 2: Convert to fraction form
   49,664.25/75,642.75 = 75,642.75/x
3. Step 3: Cross multiply
   49,664.25x = 75,642.75 × 75,642.75
4. Step 4: Simplify right side
   49,664.25x = 5,721,825,627.56
5. Step 5: Solve for x
   x = 5,721,825,627.56/49,664.25
6. Step 6: Final answer
   x = 115,210.15