Finding the Third Proportional to 1,402.11 and 1,901.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.11 : 1,901.88 = 1,901.88 : x
2. Step 2: Convert to fraction form
   1,402.11/1,901.88 = 1,901.88/x
3. Step 3: Cross multiply
   1,402.11x = 1,901.88 × 1,901.88
4. Step 4: Simplify right side
   1,402.11x = 3,617,141.52
5. Step 5: Solve for x
   x = 3,617,141.52/1,402.11
6. Step 6: Final answer
   x = 2,579.78