Finding the Third Proportional to 11,679.75 and 15,735.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,679.75 : 15,735.38 = 15,735.38 : x
2. Step 2: Convert to fraction form
   11,679.75/15,735.38 = 15,735.38/x
3. Step 3: Cross multiply
   11,679.75x = 15,735.38 × 15,735.38
4. Step 4: Simplify right side
   11,679.75x = 247,602,026.39
5. Step 5: Solve for x
   x = 247,602,026.39/11,679.75
6. Step 6: Final answer
   x = 21,199.26