Finding the Third Proportional to 6,376 and 12,572

Step by Step Solution

1. Step 1: Write the proportion equation
   6,376 : 12,572 = 12,572 : x
2. Step 2: Convert to fraction form
   6,376/12,572 = 12,572/x
3. Step 3: Cross multiply
   6,376x = 12,572 × 12,572
4. Step 4: Simplify right side
   6,376x = 158,055,184
5. Step 5: Solve for x
   x = 158,055,184/6,376
6. Step 6: Final answer
   x = 24,789.08