Finding the Third Proportional to 1,141.59 and 2,471.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.59 : 2,471.34 = 2,471.34 : x
2. Step 2: Convert to fraction form
   1,141.59/2,471.34 = 2,471.34/x
3. Step 3: Cross multiply
   1,141.59x = 2,471.34 × 2,471.34
4. Step 4: Simplify right side
   1,141.59x = 6,107,539.93
5. Step 5: Solve for x
   x = 6,107,539.93/1,141.59
6. Step 6: Final answer
   x = 5,350.01