Finding the Third Proportional to 10,258.75 and 22,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258.75 : 22,415.50 = 22,415.50 : x
2. Step 2: Convert to fraction form
   10,258.75/22,415.50 = 22,415.50/x
3. Step 3: Cross multiply
   10,258.75x = 22,415.50 × 22,415.50
4. Step 4: Simplify right side
   10,258.75x = 502,454,640.25
5. Step 5: Solve for x
   x = 502,454,640.25/10,258.75
6. Step 6: Final answer
   x = 48,978.15