Finding the Third Proportional to 10,470 and 22,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,470 : 22,456.50 = 22,456.50 : x
2. Step 2: Convert to fraction form
   10,470/22,456.50 = 22,456.50/x
3. Step 3: Cross multiply
   10,470x = 22,456.50 × 22,456.50
4. Step 4: Simplify right side
   10,470x = 504,294,392.25
5. Step 5: Solve for x
   x = 504,294,392.25/10,470
6. Step 6: Final answer
   x = 48,165.65