Finding the Third Proportional to 5,926.50 and 13,046.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,926.50 : 13,046.06 = 13,046.06 : x
2. Step 2: Convert to fraction form
   5,926.50/13,046.06 = 13,046.06/x
3. Step 3: Cross multiply
   5,926.50x = 13,046.06 × 13,046.06
4. Step 4: Simplify right side
   5,926.50x = 170,199,746.75
5. Step 5: Solve for x
   x = 170,199,746.75/5,926.50
6. Step 6: Final answer
   x = 28,718.43