Finding the Third Proportional to 32,147 and 49,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,147 : 49,771.50 = 49,771.50 : x
2. Step 2: Convert to fraction form
   32,147/49,771.50 = 49,771.50/x
3. Step 3: Cross multiply
   32,147x = 49,771.50 × 49,771.50
4. Step 4: Simplify right side
   32,147x = 2,477,202,212.25
5. Step 5: Solve for x
   x = 2,477,202,212.25/32,147
6. Step 6: Final answer
   x = 77,058.58