Finding the Third Proportional to 35,217 and 47,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,217 : 47,965.50 = 47,965.50 : x
2. Step 2: Convert to fraction form
   35,217/47,965.50 = 47,965.50/x
3. Step 3: Cross multiply
   35,217x = 47,965.50 × 47,965.50
4. Step 4: Simplify right side
   35,217x = 2,300,689,190.25
5. Step 5: Solve for x
   x = 2,300,689,190.25/35,217
6. Step 6: Final answer
   x = 65,328.94