Finding the Third Proportional to 9,516 and 15,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,516 : 15,196.50 = 15,196.50 : x
2. Step 2: Convert to fraction form
   9,516/15,196.50 = 15,196.50/x
3. Step 3: Cross multiply
   9,516x = 15,196.50 × 15,196.50
4. Step 4: Simplify right side
   9,516x = 230,933,612.25
5. Step 5: Solve for x
   x = 230,933,612.25/9,516
6. Step 6: Final answer
   x = 24,267.93