Finding the Third Proportional to 1,537.73 and 2,402.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,537.73 : 2,402.71 = 2,402.71 : x
2. Step 2: Convert to fraction form
   1,537.73/2,402.71 = 2,402.71/x
3. Step 3: Cross multiply
   1,537.73x = 2,402.71 × 2,402.71
4. Step 4: Simplify right side
   1,537.73x = 5,773,015.16
5. Step 5: Solve for x
   x = 5,773,015.16/1,537.73
6. Step 6: Final answer
   x = 3,754.23