Finding the Third Proportional to 25,986 and 61,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,986 : 61,309.50 = 61,309.50 : x
2. Step 2: Convert to fraction form
   25,986/61,309.50 = 61,309.50/x
3. Step 3: Cross multiply
   25,986x = 61,309.50 × 61,309.50
4. Step 4: Simplify right side
   25,986x = 3,758,854,790.25
5. Step 5: Solve for x
   x = 3,758,854,790.25/25,986
6. Step 6: Final answer
   x = 144,649.23