Finding the Third Proportional to 2,347.13 and 3,655.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,347.13 : 3,655.31 = 3,655.31 : x
2. Step 2: Convert to fraction form
   2,347.13/3,655.31 = 3,655.31/x
3. Step 3: Cross multiply
   2,347.13x = 3,655.31 × 3,655.31
4. Step 4: Simplify right side
   2,347.13x = 13,361,309.47
5. Step 5: Solve for x
   x = 13,361,309.47/2,347.13
6. Step 6: Final answer
   x = 5,692.63