Finding the Third Proportional to 3,586.31 and 7,807.74

Step by Step Solution

1. Step 1: Write the proportion equation
   3,586.31 : 7,807.74 = 7,807.74 : x
2. Step 2: Convert to fraction form
   3,586.31/7,807.74 = 7,807.74/x
3. Step 3: Cross multiply
   3,586.31x = 7,807.74 × 7,807.74
4. Step 4: Simplify right side
   3,586.31x = 60,960,796.13
5. Step 5: Solve for x
   x = 60,960,796.13/3,586.31
6. Step 6: Final answer
   x = 16,998.19