Finding the Third Proportional to 1,753.31 and 2,527.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,753.31 : 2,527.03 = 2,527.03 : x
2. Step 2: Convert to fraction form
   1,753.31/2,527.03 = 2,527.03/x
3. Step 3: Cross multiply
   1,753.31x = 2,527.03 × 2,527.03
4. Step 4: Simplify right side
   1,753.31x = 6,385,886.94
5. Step 5: Solve for x
   x = 6,385,886.94/1,753.31
6. Step 6: Final answer
   x = 3,642.18