Finding the Third Proportional to 35,221 and 76,414

Step by Step Solution

1. Step 1: Write the proportion equation
   35,221 : 76,414 = 76,414 : x
2. Step 2: Convert to fraction form
   35,221/76,414 = 76,414/x
3. Step 3: Cross multiply
   35,221x = 76,414 × 76,414
4. Step 4: Simplify right side
   35,221x = 5,839,099,396
5. Step 5: Solve for x
   x = 5,839,099,396/35,221
6. Step 6: Final answer
   x = 165,784.60