Finding the Third Proportional to 1,000 and 1,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,000 : 1,470.50 = 1,470.50 : x
2. Step 2: Convert to fraction form
   1,000/1,470.50 = 1,470.50/x
3. Step 3: Cross multiply
   1,000x = 1,470.50 × 1,470.50
4. Step 4: Simplify right side
   1,000x = 2,162,370.25
5. Step 5: Solve for x
   x = 2,162,370.25/1,000
6. Step 6: Final answer
   x = 2,162.37