Finding the Third Proportional to 1,402.31 and 1,875.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.31 : 1,875.09 = 1,875.09 : x
2. Step 2: Convert to fraction form
   1,402.31/1,875.09 = 1,875.09/x
3. Step 3: Cross multiply
   1,402.31x = 1,875.09 × 1,875.09
4. Step 4: Simplify right side
   1,402.31x = 3,515,976.57
5. Step 5: Solve for x
   x = 3,515,976.57/1,402.31
6. Step 6: Final answer
   x = 2,507.27