Finding the Third Proportional to 51,720 and 106,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,720 : 106,675.50 = 106,675.50 : x
2. Step 2: Convert to fraction form
   51,720/106,675.50 = 106,675.50/x
3. Step 3: Cross multiply
   51,720x = 106,675.50 × 106,675.50
4. Step 4: Simplify right side
   51,720x = 11,379,662,300.25
5. Step 5: Solve for x
   x = 11,379,662,300.25/51,720
6. Step 6: Final answer
   x = 220,024.41