Finding the Third Proportional to 1,948.13 and 3,024.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,948.13 : 3,024.56 = 3,024.56 : x
2. Step 2: Convert to fraction form
   1,948.13/3,024.56 = 3,024.56/x
3. Step 3: Cross multiply
   1,948.13x = 3,024.56 × 3,024.56
4. Step 4: Simplify right side
   1,948.13x = 9,147,978.32
5. Step 5: Solve for x
   x = 9,147,978.32/1,948.13
6. Step 6: Final answer
   x = 4,695.79