Finding the Third Proportional to 916.52 and 2,005.17

Step by Step Solution

1. Step 1: Write the proportion equation
   916.52 : 2,005.17 = 2,005.17 : x
2. Step 2: Convert to fraction form
   916.52/2,005.17 = 2,005.17/x
3. Step 3: Cross multiply
   916.52x = 2,005.17 × 2,005.17
4. Step 4: Simplify right side
   916.52x = 4,020,714.25
5. Step 5: Solve for x
   x = 4,020,714.25/916.52
6. Step 6: Final answer
   x = 4,386.92