Finding the Third Proportional to 34,914 and 75,364

Step by Step Solution

1. Step 1: Write the proportion equation
   34,914 : 75,364 = 75,364 : x
2. Step 2: Convert to fraction form
   34,914/75,364 = 75,364/x
3. Step 3: Cross multiply
   34,914x = 75,364 × 75,364
4. Step 4: Simplify right side
   34,914x = 5,679,732,496
5. Step 5: Solve for x
   x = 5,679,732,496/34,914
6. Step 6: Final answer
   x = 162,677.79