Finding the Third Proportional to 1,089.56 and 2,384.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,089.56 : 2,384.16 = 2,384.16 : x
2. Step 2: Convert to fraction form
   1,089.56/2,384.16 = 2,384.16/x
3. Step 3: Cross multiply
   1,089.56x = 2,384.16 × 2,384.16
4. Step 4: Simplify right side
   1,089.56x = 5,684,201.02
5. Step 5: Solve for x
   x = 5,684,201.02/1,089.56
6. Step 6: Final answer
   x = 5,216.96