Finding the Third Proportional to 4,349 and 10,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,349 : 10,264.50 = 10,264.50 : x
2. Step 2: Convert to fraction form
   4,349/10,264.50 = 10,264.50/x
3. Step 3: Cross multiply
   4,349x = 10,264.50 × 10,264.50
4. Step 4: Simplify right side
   4,349x = 105,359,960.25
5. Step 5: Solve for x
   x = 105,359,960.25/4,349
6. Step 6: Final answer
   x = 24,226.25