Finding the Third Proportional to 1,642.78 and 2,384.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.78 : 2,384.02 = 2,384.02 : x
2. Step 2: Convert to fraction form
   1,642.78/2,384.02 = 2,384.02/x
3. Step 3: Cross multiply
   1,642.78x = 2,384.02 × 2,384.02
4. Step 4: Simplify right side
   1,642.78x = 5,683,530.50
5. Step 5: Solve for x
   x = 5,683,530.50/1,642.78
6. Step 6: Final answer
   x = 3,459.70