Finding the Third Proportional to 25,665 and 55,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,665 : 55,162.50 = 55,162.50 : x
2. Step 2: Convert to fraction form
   25,665/55,162.50 = 55,162.50/x
3. Step 3: Cross multiply
   25,665x = 55,162.50 × 55,162.50
4. Step 4: Simplify right side
   25,665x = 3,042,901,406.25
5. Step 5: Solve for x
   x = 3,042,901,406.25/25,665
6. Step 6: Final answer
   x = 118,562.30