Finding the Third Proportional to 52,074 and 76,164

Step by Step Solution

1. Step 1: Write the proportion equation
   52,074 : 76,164 = 76,164 : x
2. Step 2: Convert to fraction form
   52,074/76,164 = 76,164/x
3. Step 3: Cross multiply
   52,074x = 76,164 × 76,164
4. Step 4: Simplify right side
   52,074x = 5,800,954,896
5. Step 5: Solve for x
   x = 5,800,954,896/52,074
6. Step 6: Final answer
   x = 111,398.30