Finding the Third Proportional to 1,458.75 and 2,116.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,458.75 : 2,116.88 = 2,116.88 : x
2. Step 2: Convert to fraction form
   1,458.75/2,116.88 = 2,116.88/x
3. Step 3: Cross multiply
   1,458.75x = 2,116.88 × 2,116.88
4. Step 4: Simplify right side
   1,458.75x = 4,481,159.77
5. Step 5: Solve for x
   x = 4,481,159.77/1,458.75
6. Step 6: Final answer
   x = 3,071.92