Finding the Third Proportional to 10,769 and 22,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,769 : 22,816.50 = 22,816.50 : x
2. Step 2: Convert to fraction form
   10,769/22,816.50 = 22,816.50/x
3. Step 3: Cross multiply
   10,769x = 22,816.50 × 22,816.50
4. Step 4: Simplify right side
   10,769x = 520,592,672.25
5. Step 5: Solve for x
   x = 520,592,672.25/10,769
6. Step 6: Final answer
   x = 48,341.78