Finding the Third Proportional to 2,375.02 and 3,655.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,375.02 : 3,655.90 = 3,655.90 : x
2. Step 2: Convert to fraction form
   2,375.02/3,655.90 = 3,655.90/x
3. Step 3: Cross multiply
   2,375.02x = 3,655.90 × 3,655.90
4. Step 4: Simplify right side
   2,375.02x = 13,365,593.39
5. Step 5: Solve for x
   x = 13,365,593.39/2,375.02
6. Step 6: Final answer
   x = 5,627.58