Finding the Third Proportional to 10,219.50 and 22,258.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,219.50 : 22,258.13 = 22,258.13 : x
2. Step 2: Convert to fraction form
   10,219.50/22,258.13 = 22,258.13/x
3. Step 3: Cross multiply
   10,219.50x = 22,258.13 × 22,258.13
4. Step 4: Simplify right side
   10,219.50x = 495,424,128.52
5. Step 5: Solve for x
   x = 495,424,128.52/10,219.50
6. Step 6: Final answer
   x = 48,478.31