Finding the Third Proportional to 47,530.50 and 102,081

Step by Step Solution

1. Step 1: Write the proportion equation
   47,530.50 : 102,081 = 102,081 : x
2. Step 2: Convert to fraction form
   47,530.50/102,081 = 102,081/x
3. Step 3: Cross multiply
   47,530.50x = 102,081 × 102,081
4. Step 4: Simplify right side
   47,530.50x = 10,420,530,561
5. Step 5: Solve for x
   x = 10,420,530,561/47,530.50
6. Step 6: Final answer
   x = 219,238.82