Finding the Third Proportional to 7,820.06 and 16,288.13

Step by Step Solution

1. Step 1: Write the proportion equation
   7,820.06 : 16,288.13 = 16,288.13 : x
2. Step 2: Convert to fraction form
   7,820.06/16,288.13 = 16,288.13/x
3. Step 3: Cross multiply
   7,820.06x = 16,288.13 × 16,288.13
4. Step 4: Simplify right side
   7,820.06x = 265,303,016.02
5. Step 5: Solve for x
   x = 265,303,016.02/7,820.06
6. Step 6: Final answer
   x = 33,925.95