Finding the Third Proportional to 31,680 and 50,161.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,680 : 50,161.50 = 50,161.50 : x
2. Step 2: Convert to fraction form
   31,680/50,161.50 = 50,161.50/x
3. Step 3: Cross multiply
   31,680x = 50,161.50 × 50,161.50
4. Step 4: Simplify right side
   31,680x = 2,516,176,082.25
5. Step 5: Solve for x
   x = 2,516,176,082.25/31,680
6. Step 6: Final answer
   x = 79,424.75