Finding the Third Proportional to 47,707.50 and 102,795

Step by Step Solution

1. Step 1: Write the proportion equation
   47,707.50 : 102,795 = 102,795 : x
2. Step 2: Convert to fraction form
   47,707.50/102,795 = 102,795/x
3. Step 3: Cross multiply
   47,707.50x = 102,795 × 102,795
4. Step 4: Simplify right side
   47,707.50x = 10,566,812,025
5. Step 5: Solve for x
   x = 10,566,812,025/47,707.50
6. Step 6: Final answer
   x = 221,491.63