Finding the Third Proportional to 34,842 and 76,356

Step by Step Solution

1. Step 1: Write the proportion equation
   34,842 : 76,356 = 76,356 : x
2. Step 2: Convert to fraction form
   34,842/76,356 = 76,356/x
3. Step 3: Cross multiply
   34,842x = 76,356 × 76,356
4. Step 4: Simplify right side
   34,842x = 5,830,238,736
5. Step 5: Solve for x
   x = 5,830,238,736/34,842
6. Step 6: Final answer
   x = 167,333.64