Finding the Third Proportional to 13,882.50 and 31,249.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,882.50 : 31,249.25 = 31,249.25 : x
2. Step 2: Convert to fraction form
   13,882.50/31,249.25 = 31,249.25/x
3. Step 3: Cross multiply
   13,882.50x = 31,249.25 × 31,249.25
4. Step 4: Simplify right side
   13,882.50x = 976,515,625.56
5. Step 5: Solve for x
   x = 976,515,625.56/13,882.50
6. Step 6: Final answer
   x = 70,341.48