Finding the Third Proportional to 47,769 and 71,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,769 : 71,665.50 = 71,665.50 : x
2. Step 2: Convert to fraction form
   47,769/71,665.50 = 71,665.50/x
3. Step 3: Cross multiply
   47,769x = 71,665.50 × 71,665.50
4. Step 4: Simplify right side
   47,769x = 5,135,943,890.25
5. Step 5: Solve for x
   x = 5,135,943,890.25/47,769
6. Step 6: Final answer
   x = 107,516.25