Finding the Third Proportional to 51,849.50 and 106,970

Step by Step Solution

1. Step 1: Write the proportion equation
   51,849.50 : 106,970 = 106,970 : x
2. Step 2: Convert to fraction form
   51,849.50/106,970 = 106,970/x
3. Step 3: Cross multiply
   51,849.50x = 106,970 × 106,970
4. Step 4: Simplify right side
   51,849.50x = 11,442,580,900
5. Step 5: Solve for x
   x = 11,442,580,900/51,849.50
6. Step 6: Final answer
   x = 220,688.36