Finding the Third Proportional to 2,140.17 and 4,705.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,140.17 : 4,705.59 = 4,705.59 : x
2. Step 2: Convert to fraction form
   2,140.17/4,705.59 = 4,705.59/x
3. Step 3: Cross multiply
   2,140.17x = 4,705.59 × 4,705.59
4. Step 4: Simplify right side
   2,140.17x = 22,142,612.54
5. Step 5: Solve for x
   x = 22,142,612.54/2,140.17
6. Step 6: Final answer
   x = 10,346.18