Finding the Third Proportional to 47,629.50 and 101,820

Step by Step Solution

1. Step 1: Write the proportion equation
   47,629.50 : 101,820 = 101,820 : x
2. Step 2: Convert to fraction form
   47,629.50/101,820 = 101,820/x
3. Step 3: Cross multiply
   47,629.50x = 101,820 × 101,820
4. Step 4: Simplify right side
   47,629.50x = 10,367,312,400
5. Step 5: Solve for x
   x = 10,367,312,400/47,629.50
6. Step 6: Final answer
   x = 217,665.78