Finding the Third Proportional to 6,301.86 and 8,832.01

Step by Step Solution

1. Step 1: Write the proportion equation
   6,301.86 : 8,832.01 = 8,832.01 : x
2. Step 2: Convert to fraction form
   6,301.86/8,832.01 = 8,832.01/x
3. Step 3: Cross multiply
   6,301.86x = 8,832.01 × 8,832.01
4. Step 4: Simplify right side
   6,301.86x = 78,004,327.50
5. Step 5: Solve for x
   x = 78,004,327.50/6,301.86
6. Step 6: Final answer
   x = 12,377.98