Finding the Third Proportional to 34,920 and 53,688

Step by Step Solution

1. Step 1: Write the proportion equation
   34,920 : 53,688 = 53,688 : x
2. Step 2: Convert to fraction form
   34,920/53,688 = 53,688/x
3. Step 3: Cross multiply
   34,920x = 53,688 × 53,688
4. Step 4: Simplify right side
   34,920x = 2,882,401,344
5. Step 5: Solve for x
   x = 2,882,401,344/34,920
6. Step 6: Final answer
   x = 82,542.99