Finding the Third Proportional to 2,784.38 and 6,116.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.38 : 6,116.06 = 6,116.06 : x
2. Step 2: Convert to fraction form
   2,784.38/6,116.06 = 6,116.06/x
3. Step 3: Cross multiply
   2,784.38x = 6,116.06 × 6,116.06
4. Step 4: Simplify right side
   2,784.38x = 37,406,220.50
5. Step 5: Solve for x
   x = 37,406,220.50/2,784.38
6. Step 6: Final answer
   x = 13,434.33