Finding the Third Proportional to 1,458.47 and 2,191.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,458.47 : 2,191.51 = 2,191.51 : x
2. Step 2: Convert to fraction form
   1,458.47/2,191.51 = 2,191.51/x
3. Step 3: Cross multiply
   1,458.47x = 2,191.51 × 2,191.51
4. Step 4: Simplify right side
   1,458.47x = 4,802,710.77
5. Step 5: Solve for x
   x = 4,802,710.77/1,458.47
6. Step 6: Final answer
   x = 3,292.97