Finding the Third Proportional to 1,470 and 2,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,470 : 2,002.50 = 2,002.50 : x
2. Step 2: Convert to fraction form
   1,470/2,002.50 = 2,002.50/x
3. Step 3: Cross multiply
   1,470x = 2,002.50 × 2,002.50
4. Step 4: Simplify right side
   1,470x = 4,010,006.25
5. Step 5: Solve for x
   x = 4,010,006.25/1,470
6. Step 6: Final answer
   x = 2,727.90