Finding the Third Proportional to 1,030.78 and 2,421.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.78 : 2,421.28 = 2,421.28 : x
2. Step 2: Convert to fraction form
   1,030.78/2,421.28 = 2,421.28/x
3. Step 3: Cross multiply
   1,030.78x = 2,421.28 × 2,421.28
4. Step 4: Simplify right side
   1,030.78x = 5,862,602.89
5. Step 5: Solve for x
   x = 5,862,602.89/1,030.78
6. Step 6: Final answer
   x = 5,687.53