Finding the Third Proportional to 2,375.89 and 3,670.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,375.89 : 3,670.63 = 3,670.63 : x
2. Step 2: Convert to fraction form
   2,375.89/3,670.63 = 3,670.63/x
3. Step 3: Cross multiply
   2,375.89x = 3,670.63 × 3,670.63
4. Step 4: Simplify right side
   2,375.89x = 13,473,516.57
5. Step 5: Solve for x
   x = 13,473,516.57/2,375.89
6. Step 6: Final answer
   x = 5,670.92