Finding the Third Proportional to 12,919.50 and 31,924.13

Step by Step Solution

1. Step 1: Write the proportion equation
   12,919.50 : 31,924.13 = 31,924.13 : x
2. Step 2: Convert to fraction form
   12,919.50/31,924.13 = 31,924.13/x
3. Step 3: Cross multiply
   12,919.50x = 31,924.13 × 31,924.13
4. Step 4: Simplify right side
   12,919.50x = 1,019,149,757.02
5. Step 5: Solve for x
   x = 1,019,149,757.02/12,919.50
6. Step 6: Final answer
   x = 78,884.61