Finding the Third Proportional to 1,036.34 and 1,465.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.34 : 1,465.17 = 1,465.17 : x
2. Step 2: Convert to fraction form
   1,036.34/1,465.17 = 1,465.17/x
3. Step 3: Cross multiply
   1,036.34x = 1,465.17 × 1,465.17
4. Step 4: Simplify right side
   1,036.34x = 2,146,728.62
5. Step 5: Solve for x
   x = 2,146,728.62/1,036.34
6. Step 6: Final answer
   x = 2,071.46