Finding the Third Proportional to 35,675 and 52,998

Step by Step Solution

1. Step 1: Write the proportion equation
   35,675 : 52,998 = 52,998 : x
2. Step 2: Convert to fraction form
   35,675/52,998 = 52,998/x
3. Step 3: Cross multiply
   35,675x = 52,998 × 52,998
4. Step 4: Simplify right side
   35,675x = 2,808,788,004
5. Step 5: Solve for x
   x = 2,808,788,004/35,675
6. Step 6: Final answer
   x = 78,732.67