Finding the Third Proportional to 2,375.63 and 5,161.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,375.63 : 5,161.50 = 5,161.50 : x
2. Step 2: Convert to fraction form
   2,375.63/5,161.50 = 5,161.50/x
3. Step 3: Cross multiply
   2,375.63x = 5,161.50 × 5,161.50
4. Step 4: Simplify right side
   2,375.63x = 26,641,082.25
5. Step 5: Solve for x
   x = 26,641,082.25/2,375.63
6. Step 6: Final answer
   x = 11,214.35