Finding the Third Proportional to 11,688.50 and 25,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,688.50 : 25,016.50 = 25,016.50 : x
2. Step 2: Convert to fraction form
   11,688.50/25,016.50 = 25,016.50/x
3. Step 3: Cross multiply
   11,688.50x = 25,016.50 × 25,016.50
4. Step 4: Simplify right side
   11,688.50x = 625,825,272.25
5. Step 5: Solve for x
   x = 625,825,272.25/11,688.50
6. Step 6: Final answer
   x = 53,541.97