Finding the Third Proportional to 11,688.75 and 15,969.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,688.75 : 15,969.38 = 15,969.38 : x
2. Step 2: Convert to fraction form
   11,688.75/15,969.38 = 15,969.38/x
3. Step 3: Cross multiply
   11,688.75x = 15,969.38 × 15,969.38
4. Step 4: Simplify right side
   11,688.75x = 255,020,937.89
5. Step 5: Solve for x
   x = 255,020,937.89/11,688.75
6. Step 6: Final answer
   x = 21,817.64