Finding the Third Proportional to 5,387.63 and 8,321.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,387.63 : 8,321.06 = 8,321.06 : x
2. Step 2: Convert to fraction form
   5,387.63/8,321.06 = 8,321.06/x
3. Step 3: Cross multiply
   5,387.63x = 8,321.06 × 8,321.06
4. Step 4: Simplify right side
   5,387.63x = 69,240,081.13
5. Step 5: Solve for x
   x = 69,240,081.13/5,387.63
6. Step 6: Final answer
   x = 12,851.69