Finding the Third Proportional to 2,991.94 and 6,416.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,991.94 : 6,416.72 = 6,416.72 : x
2. Step 2: Convert to fraction form
   2,991.94/6,416.72 = 6,416.72/x
3. Step 3: Cross multiply
   2,991.94x = 6,416.72 × 6,416.72
4. Step 4: Simplify right side
   2,991.94x = 41,174,279.52
5. Step 5: Solve for x
   x = 41,174,279.52/2,991.94
6. Step 6: Final answer
   x = 13,761.74