Finding the Third Proportional to 7,784.09 and 12,392.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,784.09 : 12,392.06 = 12,392.06 : x
2. Step 2: Convert to fraction form
   7,784.09/12,392.06 = 12,392.06/x
3. Step 3: Cross multiply
   7,784.09x = 12,392.06 × 12,392.06
4. Step 4: Simplify right side
   7,784.09x = 153,563,213.00
5. Step 5: Solve for x
   x = 153,563,213.00/7,784.09
6. Step 6: Final answer
   x = 19,727.82