Finding the Third Proportional to 2,710.13 and 5,837.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,710.13 : 5,837.06 = 5,837.06 : x
2. Step 2: Convert to fraction form
   2,710.13/5,837.06 = 5,837.06/x
3. Step 3: Cross multiply
   2,710.13x = 5,837.06 × 5,837.06
4. Step 4: Simplify right side
   2,710.13x = 34,071,298.63
5. Step 5: Solve for x
   x = 34,071,298.63/2,710.13
6. Step 6: Final answer
   x = 12,571.86