Finding the Third Proportional to 31,965 and 50,144.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,965 : 50,144.25 = 50,144.25 : x
2. Step 2: Convert to fraction form
   31,965/50,144.25 = 50,144.25/x
3. Step 3: Cross multiply
   31,965x = 50,144.25 × 50,144.25
4. Step 4: Simplify right side
   31,965x = 2,514,445,808.06
5. Step 5: Solve for x
   x = 2,514,445,808.06/31,965
6. Step 6: Final answer
   x = 78,662.47