Finding the Third Proportional to 1,460.85 and 3,165.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.85 : 3,165.17 = 3,165.17 : x
2. Step 2: Convert to fraction form
   1,460.85/3,165.17 = 3,165.17/x
3. Step 3: Cross multiply
   1,460.85x = 3,165.17 × 3,165.17
4. Step 4: Simplify right side
   1,460.85x = 10,018,300.63
5. Step 5: Solve for x
   x = 10,018,300.63/1,460.85
6. Step 6: Final answer
   x = 6,857.87