Finding the Third Proportional to 2,374.31 and 3,677.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,374.31 : 3,677.91 = 3,677.91 : x
2. Step 2: Convert to fraction form
   2,374.31/3,677.91 = 3,677.91/x
3. Step 3: Cross multiply
   2,374.31x = 3,677.91 × 3,677.91
4. Step 4: Simplify right side
   2,374.31x = 13,526,994.38
5. Step 5: Solve for x
   x = 13,526,994.38/2,374.31
6. Step 6: Final answer
   x = 5,697.23