Finding the Third Proportional to 48,491.25 and 75,258.75

Step by Step Solution

1. Step 1: Write the proportion equation
   48,491.25 : 75,258.75 = 75,258.75 : x
2. Step 2: Convert to fraction form
   48,491.25/75,258.75 = 75,258.75/x
3. Step 3: Cross multiply
   48,491.25x = 75,258.75 × 75,258.75
4. Step 4: Simplify right side
   48,491.25x = 5,663,879,451.56
5. Step 5: Solve for x
   x = 5,663,879,451.56/48,491.25
6. Step 6: Final answer
   x = 116,802.09