Finding the Third Proportional to 1,921.50 and 2,937.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,921.50 : 2,937.38 = 2,937.38 : x
2. Step 2: Convert to fraction form
   1,921.50/2,937.38 = 2,937.38/x
3. Step 3: Cross multiply
   1,921.50x = 2,937.38 × 2,937.38
4. Step 4: Simplify right side
   1,921.50x = 8,628,171.89
5. Step 5: Solve for x
   x = 8,628,171.89/1,921.50
6. Step 6: Final answer
   x = 4,490.33