Finding the Third Proportional to 6,335.72 and 13,742.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,335.72 : 13,742.16 = 13,742.16 : x
2. Step 2: Convert to fraction form
   6,335.72/13,742.16 = 13,742.16/x
3. Step 3: Cross multiply
   6,335.72x = 13,742.16 × 13,742.16
4. Step 4: Simplify right side
   6,335.72x = 188,846,858.40
5. Step 5: Solve for x
   x = 188,846,858.40/6,335.72
6. Step 6: Final answer
   x = 29,806.70