Finding the Third Proportional to 32,906 and 50,966

Step by Step Solution

1. Step 1: Write the proportion equation
   32,906 : 50,966 = 50,966 : x
2. Step 2: Convert to fraction form
   32,906/50,966 = 50,966/x
3. Step 3: Cross multiply
   32,906x = 50,966 × 50,966
4. Step 4: Simplify right side
   32,906x = 2,597,533,156
5. Step 5: Solve for x
   x = 2,597,533,156/32,906
6. Step 6: Final answer
   x = 78,937.98