Finding the Third Proportional to 10,789 and 23,520.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,789 : 23,520.50 = 23,520.50 : x
2. Step 2: Convert to fraction form
   10,789/23,520.50 = 23,520.50/x
3. Step 3: Cross multiply
   10,789x = 23,520.50 × 23,520.50
4. Step 4: Simplify right side
   10,789x = 553,213,920.25
5. Step 5: Solve for x
   x = 553,213,920.25/10,789
6. Step 6: Final answer
   x = 51,275.74