Finding the Third Proportional to 377.31 and 813.01

Step by Step Solution

1. Step 1: Write the proportion equation
   377.31 : 813.01 = 813.01 : x
2. Step 2: Convert to fraction form
   377.31/813.01 = 813.01/x
3. Step 3: Cross multiply
   377.31x = 813.01 × 813.01
4. Step 4: Simplify right side
   377.31x = 660,978.53
5. Step 5: Solve for x
   x = 660,978.53/377.31
6. Step 6: Final answer
   x = 1,751.80