Finding the Third Proportional to 7,727.06 and 16,547.34

Step by Step Solution

1. Step 1: Write the proportion equation
   7,727.06 : 16,547.34 = 16,547.34 : x
2. Step 2: Convert to fraction form
   7,727.06/16,547.34 = 16,547.34/x
3. Step 3: Cross multiply
   7,727.06x = 16,547.34 × 16,547.34
4. Step 4: Simplify right side
   7,727.06x = 273,814,585.18
5. Step 5: Solve for x
   x = 273,814,585.18/7,727.06
6. Step 6: Final answer
   x = 35,435.79