Finding the Third Proportional to 34,920 and 76,320

Step by Step Solution

1. Step 1: Write the proportion equation
   34,920 : 76,320 = 76,320 : x
2. Step 2: Convert to fraction form
   34,920/76,320 = 76,320/x
3. Step 3: Cross multiply
   34,920x = 76,320 × 76,320
4. Step 4: Simplify right side
   34,920x = 5,824,742,400
5. Step 5: Solve for x
   x = 5,824,742,400/34,920
6. Step 6: Final answer
   x = 166,802.47