Finding the Third Proportional to 6,322.50 and 12,861

Step by Step Solution

1. Step 1: Write the proportion equation
   6,322.50 : 12,861 = 12,861 : x
2. Step 2: Convert to fraction form
   6,322.50/12,861 = 12,861/x
3. Step 3: Cross multiply
   6,322.50x = 12,861 × 12,861
4. Step 4: Simplify right side
   6,322.50x = 165,405,321
5. Step 5: Solve for x
   x = 165,405,321/6,322.50
6. Step 6: Final answer
   x = 26,161.38