Finding the Third Proportional to 35,669 and 52,990

Step by Step Solution

1. Step 1: Write the proportion equation
   35,669 : 52,990 = 52,990 : x
2. Step 2: Convert to fraction form
   35,669/52,990 = 52,990/x
3. Step 3: Cross multiply
   35,669x = 52,990 × 52,990
4. Step 4: Simplify right side
   35,669x = 2,807,940,100
5. Step 5: Solve for x
   x = 2,807,940,100/35,669
6. Step 6: Final answer
   x = 78,722.14