Finding the Third Proportional to 1,638.38 and 3,461.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.38 : 3,461.25 = 3,461.25 : x
2. Step 2: Convert to fraction form
   1,638.38/3,461.25 = 3,461.25/x
3. Step 3: Cross multiply
   1,638.38x = 3,461.25 × 3,461.25
4. Step 4: Simplify right side
   1,638.38x = 11,980,251.56
5. Step 5: Solve for x
   x = 11,980,251.56/1,638.38
6. Step 6: Final answer
   x = 7,312.28