Finding the Third Proportional to 2,343.75 and 3,612.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,343.75 : 3,612.94 = 3,612.94 : x
2. Step 2: Convert to fraction form
   2,343.75/3,612.94 = 3,612.94/x
3. Step 3: Cross multiply
   2,343.75x = 3,612.94 × 3,612.94
4. Step 4: Simplify right side
   2,343.75x = 13,053,317.38
5. Step 5: Solve for x
   x = 13,053,317.38/2,343.75
6. Step 6: Final answer
   x = 5,569.42