Finding the Third Proportional to 13,187.25 and 31,514.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,187.25 : 31,514.63 = 31,514.63 : x
2. Step 2: Convert to fraction form
   13,187.25/31,514.63 = 31,514.63/x
3. Step 3: Cross multiply
   13,187.25x = 31,514.63 × 31,514.63
4. Step 4: Simplify right side
   13,187.25x = 993,171,588.89
5. Step 5: Solve for x
   x = 993,171,588.89/13,187.25
6. Step 6: Final answer
   x = 75,313.02