Finding the Third Proportional to 10,948.50 and 16,405.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,948.50 : 16,405.88 = 16,405.88 : x
2. Step 2: Convert to fraction form
   10,948.50/16,405.88 = 16,405.88/x
3. Step 3: Cross multiply
   10,948.50x = 16,405.88 × 16,405.88
4. Step 4: Simplify right side
   10,948.50x = 269,152,734.52
5. Step 5: Solve for x
   x = 269,152,734.52/10,948.50
6. Step 6: Final answer
   x = 24,583.53