Finding the Third Proportional to 47,680 and 101,692

Step by Step Solution

1. Step 1: Write the proportion equation
   47,680 : 101,692 = 101,692 : x
2. Step 2: Convert to fraction form
   47,680/101,692 = 101,692/x
3. Step 3: Cross multiply
   47,680x = 101,692 × 101,692
4. Step 4: Simplify right side
   47,680x = 10,341,262,864
5. Step 5: Solve for x
   x = 10,341,262,864/47,680
6. Step 6: Final answer
   x = 216,888.90