Finding the Third Proportional to 34,534 and 76,327

Step by Step Solution

1. Step 1: Write the proportion equation
   34,534 : 76,327 = 76,327 : x
2. Step 2: Convert to fraction form
   34,534/76,327 = 76,327/x
3. Step 3: Cross multiply
   34,534x = 76,327 × 76,327
4. Step 4: Simplify right side
   34,534x = 5,825,810,929
5. Step 5: Solve for x
   x = 5,825,810,929/34,534
6. Step 6: Final answer
   x = 168,697.83