Finding the Third Proportional to 47,682 and 72,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,682 : 72,805.50 = 72,805.50 : x
2. Step 2: Convert to fraction form
   47,682/72,805.50 = 72,805.50/x
3. Step 3: Cross multiply
   47,682x = 72,805.50 × 72,805.50
4. Step 4: Simplify right side
   47,682x = 5,300,640,830.25
5. Step 5: Solve for x
   x = 5,300,640,830.25/47,682
6. Step 6: Final answer
   x = 111,166.50