Finding the Third Proportional to 1,132.31 and 1,664.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,132.31 : 1,664.30 = 1,664.30 : x
2. Step 2: Convert to fraction form
   1,132.31/1,664.30 = 1,664.30/x
3. Step 3: Cross multiply
   1,132.31x = 1,664.30 × 1,664.30
4. Step 4: Simplify right side
   1,132.31x = 2,769,884.09
5. Step 5: Solve for x
   x = 2,769,884.09/1,132.31
6. Step 6: Final answer
   x = 2,446.22