Finding the Third Proportional to 2,086.31 and 2,417.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.31 : 2,417.06 = 2,417.06 : x
2. Step 2: Convert to fraction form
   2,086.31/2,417.06 = 2,417.06/x
3. Step 3: Cross multiply
   2,086.31x = 2,417.06 × 2,417.06
4. Step 4: Simplify right side
   2,086.31x = 5,842,191.13
5. Step 5: Solve for x
   x = 5,842,191.13/2,086.31
6. Step 6: Final answer
   x = 2,800.25