Finding the Third Proportional to 11,097 and 13,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,097 : 13,162.50 = 13,162.50 : x
2. Step 2: Convert to fraction form
   11,097/13,162.50 = 13,162.50/x
3. Step 3: Cross multiply
   11,097x = 13,162.50 × 13,162.50
4. Step 4: Simplify right side
   11,097x = 173,251,406.25
5. Step 5: Solve for x
   x = 173,251,406.25/11,097
6. Step 6: Final answer
   x = 15,612.45