Finding the Third Proportional to 47,682 and 101,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,682 : 101,695.50 = 101,695.50 : x
2. Step 2: Convert to fraction form
   47,682/101,695.50 = 101,695.50/x
3. Step 3: Cross multiply
   47,682x = 101,695.50 × 101,695.50
4. Step 4: Simplify right side
   47,682x = 10,341,974,720.25
5. Step 5: Solve for x
   x = 10,341,974,720.25/47,682
6. Step 6: Final answer
   x = 216,894.73