Finding the Third Proportional to 2,653.55 and 5,623.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,653.55 : 5,623.17 = 5,623.17 : x
2. Step 2: Convert to fraction form
   2,653.55/5,623.17 = 5,623.17/x
3. Step 3: Cross multiply
   2,653.55x = 5,623.17 × 5,623.17
4. Step 4: Simplify right side
   2,653.55x = 31,620,061.94
5. Step 5: Solve for x
   x = 31,620,061.94/2,653.55
6. Step 6: Final answer
   x = 11,916.15