Finding the Third Proportional to 47,635.50 and 101,832

Step by Step Solution

1. Step 1: Write the proportion equation
   47,635.50 : 101,832 = 101,832 : x
2. Step 2: Convert to fraction form
   47,635.50/101,832 = 101,832/x
3. Step 3: Cross multiply
   47,635.50x = 101,832 × 101,832
4. Step 4: Simplify right side
   47,635.50x = 10,369,756,224
5. Step 5: Solve for x
   x = 10,369,756,224/47,635.50
6. Step 6: Final answer
   x = 217,689.67