Finding the Third Proportional to 25,825.50 and 61,877.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,825.50 : 61,877.25 = 61,877.25 : x
2. Step 2: Convert to fraction form
   25,825.50/61,877.25 = 61,877.25/x
3. Step 3: Cross multiply
   25,825.50x = 61,877.25 × 61,877.25
4. Step 4: Simplify right side
   25,825.50x = 3,828,794,067.56
5. Step 5: Solve for x
   x = 3,828,794,067.56/25,825.50
6. Step 6: Final answer
   x = 148,256.34