Finding the Third Proportional to 1,465.31 and 2,234.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.31 : 2,234.25 = 2,234.25 : x
2. Step 2: Convert to fraction form
   1,465.31/2,234.25 = 2,234.25/x
3. Step 3: Cross multiply
   1,465.31x = 2,234.25 × 2,234.25
4. Step 4: Simplify right side
   1,465.31x = 4,991,873.06
5. Step 5: Solve for x
   x = 4,991,873.06/1,465.31
6. Step 6: Final answer
   x = 3,406.70