Finding the Third Proportional to 34,214 and 72,796

Step by Step Solution

1. Step 1: Write the proportion equation
   34,214 : 72,796 = 72,796 : x
2. Step 2: Convert to fraction form
   34,214/72,796 = 72,796/x
3. Step 3: Cross multiply
   34,214x = 72,796 × 72,796
4. Step 4: Simplify right side
   34,214x = 5,299,257,616
5. Step 5: Solve for x
   x = 5,299,257,616/34,214
6. Step 6: Final answer
   x = 154,885.65