Finding the Third Proportional to 1,470.75 and 2,125.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,470.75 : 2,125.88 = 2,125.88 : x
2. Step 2: Convert to fraction form
   1,470.75/2,125.88 = 2,125.88/x
3. Step 3: Cross multiply
   1,470.75x = 2,125.88 × 2,125.88
4. Step 4: Simplify right side
   1,470.75x = 4,519,344.52
5. Step 5: Solve for x
   x = 4,519,344.52/1,470.75
6. Step 6: Final answer
   x = 3,072.82