Finding the Third Proportional to 12,177 and 25,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,177 : 25,807.50 = 25,807.50 : x
2. Step 2: Convert to fraction form
   12,177/25,807.50 = 25,807.50/x
3. Step 3: Cross multiply
   12,177x = 25,807.50 × 25,807.50
4. Step 4: Simplify right side
   12,177x = 666,027,056.25
5. Step 5: Solve for x
   x = 666,027,056.25/12,177
6. Step 6: Final answer
   x = 54,695.50