Finding the Third Proportional to 380.16 and 807.31

Step by Step Solution

1. Step 1: Write the proportion equation
   380.16 : 807.31 = 807.31 : x
2. Step 2: Convert to fraction form
   380.16/807.31 = 807.31/x
3. Step 3: Cross multiply
   380.16x = 807.31 × 807.31
4. Step 4: Simplify right side
   380.16x = 651,750.32
5. Step 5: Solve for x
   x = 651,750.32/380.16
6. Step 6: Final answer
   x = 1,714.40