Finding the Third Proportional to 1,191.38 and 2,426.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.38 : 2,426.63 = 2,426.63 : x
2. Step 2: Convert to fraction form
   1,191.38/2,426.63 = 2,426.63/x
3. Step 3: Cross multiply
   1,191.38x = 2,426.63 × 2,426.63
4. Step 4: Simplify right side
   1,191.38x = 5,888,508.89
5. Step 5: Solve for x
   x = 5,888,508.89/1,191.38
6. Step 6: Final answer
   x = 4,942.62