Finding the Third Proportional to 34,647 and 52,282.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,647 : 52,282.50 = 52,282.50 : x
2. Step 2: Convert to fraction form
   34,647/52,282.50 = 52,282.50/x
3. Step 3: Cross multiply
   34,647x = 52,282.50 × 52,282.50
4. Step 4: Simplify right side
   34,647x = 2,733,459,806.25
5. Step 5: Solve for x
   x = 2,733,459,806.25/34,647
6. Step 6: Final answer
   x = 78,894.56