Finding the Third Proportional to 4,864.50 and 10,663.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,864.50 : 10,663.88 = 10,663.88 : x
2. Step 2: Convert to fraction form
   4,864.50/10,663.88 = 10,663.88/x
3. Step 3: Cross multiply
   4,864.50x = 10,663.88 × 10,663.88
4. Step 4: Simplify right side
   4,864.50x = 113,718,230.02
5. Step 5: Solve for x
   x = 113,718,230.02/4,864.50
6. Step 6: Final answer
   x = 23,377.17