Finding the Third Proportional to 34,662 and 52,303

Step by Step Solution

1. Step 1: Write the proportion equation
   34,662 : 52,303 = 52,303 : x
2. Step 2: Convert to fraction form
   34,662/52,303 = 52,303/x
3. Step 3: Cross multiply
   34,662x = 52,303 × 52,303
4. Step 4: Simplify right side
   34,662x = 2,735,603,809
5. Step 5: Solve for x
   x = 2,735,603,809/34,662
6. Step 6: Final answer
   x = 78,922.27