Finding the Third Proportional to 47,934.50 and 100,827

Step by Step Solution

1. Step 1: Write the proportion equation
   47,934.50 : 100,827 = 100,827 : x
2. Step 2: Convert to fraction form
   47,934.50/100,827 = 100,827/x
3. Step 3: Cross multiply
   47,934.50x = 100,827 × 100,827
4. Step 4: Simplify right side
   47,934.50x = 10,166,083,929
5. Step 5: Solve for x
   x = 10,166,083,929/47,934.50
6. Step 6: Final answer
   x = 212,082.82