Finding the Third Proportional to 978.47 and 1,467.42

Step by Step Solution

1. Step 1: Write the proportion equation
   978.47 : 1,467.42 = 1,467.42 : x
2. Step 2: Convert to fraction form
   978.47/1,467.42 = 1,467.42/x
3. Step 3: Cross multiply
   978.47x = 1,467.42 × 1,467.42
4. Step 4: Simplify right side
   978.47x = 2,153,326.96
5. Step 5: Solve for x
   x = 2,153,326.96/978.47
6. Step 6: Final answer
   x = 2,200.71