Finding the Third Proportional to 10,802.50 and 23,498

Step by Step Solution

1. Step 1: Write the proportion equation
   10,802.50 : 23,498 = 23,498 : x
2. Step 2: Convert to fraction form
   10,802.50/23,498 = 23,498/x
3. Step 3: Cross multiply
   10,802.50x = 23,498 × 23,498
4. Step 4: Simplify right side
   10,802.50x = 552,156,004
5. Step 5: Solve for x
   x = 552,156,004/10,802.50
6. Step 6: Final answer
   x = 51,113.72