Finding the Third Proportional to 35,238 and 76,284

Step by Step Solution

1. Step 1: Write the proportion equation
   35,238 : 76,284 = 76,284 : x
2. Step 2: Convert to fraction form
   35,238/76,284 = 76,284/x
3. Step 3: Cross multiply
   35,238x = 76,284 × 76,284
4. Step 4: Simplify right side
   35,238x = 5,819,248,656
5. Step 5: Solve for x
   x = 5,819,248,656/35,238
6. Step 6: Final answer
   x = 165,141.29