Finding the Third Proportional to 25,596 and 55,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,596 : 55,561.50 = 55,561.50 : x
2. Step 2: Convert to fraction form
   25,596/55,561.50 = 55,561.50/x
3. Step 3: Cross multiply
   25,596x = 55,561.50 × 55,561.50
4. Step 4: Simplify right side
   25,596x = 3,087,080,282.25
5. Step 5: Solve for x
   x = 3,087,080,282.25/25,596
6. Step 6: Final answer
   x = 120,607.92