Finding the Third Proportional to 35,714 and 74,236

Step by Step Solution

1. Step 1: Write the proportion equation
   35,714 : 74,236 = 74,236 : x
2. Step 2: Convert to fraction form
   35,714/74,236 = 74,236/x
3. Step 3: Cross multiply
   35,714x = 74,236 × 74,236
4. Step 4: Simplify right side
   35,714x = 5,510,983,696
5. Step 5: Solve for x
   x = 5,510,983,696/35,714
6. Step 6: Final answer
   x = 154,308.78