Finding the Third Proportional to 47,967.50 and 102,983

Step by Step Solution

1. Step 1: Write the proportion equation
   47,967.50 : 102,983 = 102,983 : x
2. Step 2: Convert to fraction form
   47,967.50/102,983 = 102,983/x
3. Step 3: Cross multiply
   47,967.50x = 102,983 × 102,983
4. Step 4: Simplify right side
   47,967.50x = 10,605,498,289
5. Step 5: Solve for x
   x = 10,605,498,289/47,967.50
6. Step 6: Final answer
   x = 221,097.58