Finding the Third Proportional to 27,259.50 and 39,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,259.50 : 39,997.50 = 39,997.50 : x
2. Step 2: Convert to fraction form
   27,259.50/39,997.50 = 39,997.50/x
3. Step 3: Cross multiply
   27,259.50x = 39,997.50 × 39,997.50
4. Step 4: Simplify right side
   27,259.50x = 1,599,800,006.25
5. Step 5: Solve for x
   x = 1,599,800,006.25/27,259.50
6. Step 6: Final answer
   x = 58,687.80