Finding the Third Proportional to 10,678 and 15,929.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678 : 15,929.50 = 15,929.50 : x
2. Step 2: Convert to fraction form
   10,678/15,929.50 = 15,929.50/x
3. Step 3: Cross multiply
   10,678x = 15,929.50 × 15,929.50
4. Step 4: Simplify right side
   10,678x = 253,748,970.25
5. Step 5: Solve for x
   x = 253,748,970.25/10,678
6. Step 6: Final answer
   x = 23,763.72