Finding the Third Proportional to 35,656 and 76,238

Step by Step Solution

1. Step 1: Write the proportion equation
   35,656 : 76,238 = 76,238 : x
2. Step 2: Convert to fraction form
   35,656/76,238 = 76,238/x
3. Step 3: Cross multiply
   35,656x = 76,238 × 76,238
4. Step 4: Simplify right side
   35,656x = 5,812,232,644
5. Step 5: Solve for x
   x = 5,812,232,644/35,656
6. Step 6: Final answer
   x = 163,008.54