Finding the Third Proportional to 653.31 and 1,397.69

Step by Step Solution

1. Step 1: Write the proportion equation
   653.31 : 1,397.69 = 1,397.69 : x
2. Step 2: Convert to fraction form
   653.31/1,397.69 = 1,397.69/x
3. Step 3: Cross multiply
   653.31x = 1,397.69 × 1,397.69
4. Step 4: Simplify right side
   653.31x = 1,953,530.35
5. Step 5: Solve for x
   x = 1,953,530.35/653.31
6. Step 6: Final answer
   x = 2,990.19