Finding the Third Proportional to 34,192 and 73,496

Step by Step Solution

1. Step 1: Write the proportion equation
   34,192 : 73,496 = 73,496 : x
2. Step 2: Convert to fraction form
   34,192/73,496 = 73,496/x
3. Step 3: Cross multiply
   34,192x = 73,496 × 73,496
4. Step 4: Simplify right side
   34,192x = 5,401,662,016
5. Step 5: Solve for x
   x = 5,401,662,016/34,192
6. Step 6: Final answer
   x = 157,980.29