Finding the Third Proportional to 1,337.63 and 2,942.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,337.63 : 2,942.13 = 2,942.13 : x
2. Step 2: Convert to fraction form
   1,337.63/2,942.13 = 2,942.13/x
3. Step 3: Cross multiply
   1,337.63x = 2,942.13 × 2,942.13
4. Step 4: Simplify right side
   1,337.63x = 8,656,099.52
5. Step 5: Solve for x
   x = 8,656,099.52/1,337.63
6. Step 6: Final answer
   x = 6,471.25