Finding the Third Proportional to 25,566 and 55,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,566 : 55,780.50 = 55,780.50 : x
2. Step 2: Convert to fraction form
   25,566/55,780.50 = 55,780.50/x
3. Step 3: Cross multiply
   25,566x = 55,780.50 × 55,780.50
4. Step 4: Simplify right side
   25,566x = 3,111,464,180.25
5. Step 5: Solve for x
   x = 3,111,464,180.25/25,566
6. Step 6: Final answer
   x = 121,703.21