Finding the Third Proportional to 1,746.14 and 4,219.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,746.14 : 4,219.17 = 4,219.17 : x
2. Step 2: Convert to fraction form
   1,746.14/4,219.17 = 4,219.17/x
3. Step 3: Cross multiply
   1,746.14x = 4,219.17 × 4,219.17
4. Step 4: Simplify right side
   1,746.14x = 17,801,411.31
5. Step 5: Solve for x
   x = 17,801,411.31/1,746.14
6. Step 6: Final answer
   x = 10,194.72