Finding the Third Proportional to 6,132 and 12,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,132 : 12,574.50 = 12,574.50 : x
2. Step 2: Convert to fraction form
   6,132/12,574.50 = 12,574.50/x
3. Step 3: Cross multiply
   6,132x = 12,574.50 × 12,574.50
4. Step 4: Simplify right side
   6,132x = 158,118,050.25
5. Step 5: Solve for x
   x = 158,118,050.25/6,132
6. Step 6: Final answer
   x = 25,785.72