Finding the Third Proportional to 15,997.50 and 23,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,997.50 : 23,686.50 = 23,686.50 : x
2. Step 2: Convert to fraction form
   15,997.50/23,686.50 = 23,686.50/x
3. Step 3: Cross multiply
   15,997.50x = 23,686.50 × 23,686.50
4. Step 4: Simplify right side
   15,997.50x = 561,050,282.25
5. Step 5: Solve for x
   x = 561,050,282.25/15,997.50
6. Step 6: Final answer
   x = 35,071.12