Finding the Third Proportional to 2,625.33 and 3,670.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,625.33 : 3,670.52 = 3,670.52 : x
2. Step 2: Convert to fraction form
   2,625.33/3,670.52 = 3,670.52/x
3. Step 3: Cross multiply
   2,625.33x = 3,670.52 × 3,670.52
4. Step 4: Simplify right side
   2,625.33x = 13,472,742.31
5. Step 5: Solve for x
   x = 13,472,742.31/2,625.33
6. Step 6: Final answer
   x = 5,131.83