Finding the Third Proportional to 7,708.61 and 12,832.96

Step by Step Solution

1. Step 1: Write the proportion equation
   7,708.61 : 12,832.96 = 12,832.96 : x
2. Step 2: Convert to fraction form
   7,708.61/12,832.96 = 12,832.96/x
3. Step 3: Cross multiply
   7,708.61x = 12,832.96 × 12,832.96
4. Step 4: Simplify right side
   7,708.61x = 164,684,936.55
5. Step 5: Solve for x
   x = 164,684,936.55/7,708.61
6. Step 6: Final answer
   x = 21,363.78