Finding the Third Proportional to 25,380 and 39,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,380 : 39,514.50 = 39,514.50 : x
2. Step 2: Convert to fraction form
   25,380/39,514.50 = 39,514.50/x
3. Step 3: Cross multiply
   25,380x = 39,514.50 × 39,514.50
4. Step 4: Simplify right side
   25,380x = 1,561,395,710.25
5. Step 5: Solve for x
   x = 1,561,395,710.25/25,380
6. Step 6: Final answer
   x = 61,520.71