Finding the Third Proportional to 2,602.13 and 3,736.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,602.13 : 3,736.69 = 3,736.69 : x
2. Step 2: Convert to fraction form
   2,602.13/3,736.69 = 3,736.69/x
3. Step 3: Cross multiply
   2,602.13x = 3,736.69 × 3,736.69
4. Step 4: Simplify right side
   2,602.13x = 13,962,833.47
5. Step 5: Solve for x
   x = 13,962,833.47/2,602.13
6. Step 6: Final answer
   x = 5,365.93