Finding the Third Proportional to 2,602.13 and 5,781.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,602.13 : 5,781.38 = 5,781.38 : x
2. Step 2: Convert to fraction form
   2,602.13/5,781.38 = 5,781.38/x
3. Step 3: Cross multiply
   2,602.13x = 5,781.38 × 5,781.38
4. Step 4: Simplify right side
   2,602.13x = 33,424,296.89
5. Step 5: Solve for x
   x = 33,424,296.89/2,602.13
6. Step 6: Final answer
   x = 12,845.00