Finding the Third Proportional to 2,032.50 and 2,971.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,032.50 : 2,971.31 = 2,971.31 : x
2. Step 2: Convert to fraction form
   2,032.50/2,971.31 = 2,971.31/x
3. Step 3: Cross multiply
   2,032.50x = 2,971.31 × 2,971.31
4. Step 4: Simplify right side
   2,032.50x = 8,828,697.97
5. Step 5: Solve for x
   x = 8,828,697.97/2,032.50
6. Step 6: Final answer
   x = 4,343.76