Finding the Third Proportional to 47,632.50 and 101,826

Step by Step Solution

1. Step 1: Write the proportion equation
   47,632.50 : 101,826 = 101,826 : x
2. Step 2: Convert to fraction form
   47,632.50/101,826 = 101,826/x
3. Step 3: Cross multiply
   47,632.50x = 101,826 × 101,826
4. Step 4: Simplify right side
   47,632.50x = 10,368,534,276
5. Step 5: Solve for x
   x = 10,368,534,276/47,632.50
6. Step 6: Final answer
   x = 217,677.73