Finding the Third Proportional to 47,695.50 and 102,771

Step by Step Solution

1. Step 1: Write the proportion equation
   47,695.50 : 102,771 = 102,771 : x
2. Step 2: Convert to fraction form
   47,695.50/102,771 = 102,771/x
3. Step 3: Cross multiply
   47,695.50x = 102,771 × 102,771
4. Step 4: Simplify right side
   47,695.50x = 10,561,878,441
5. Step 5: Solve for x
   x = 10,561,878,441/47,695.50
6. Step 6: Final answer
   x = 221,443.92