Finding the Third Proportional to 34,287 and 72,786

Step by Step Solution

1. Step 1: Write the proportion equation
   34,287 : 72,786 = 72,786 : x
2. Step 2: Convert to fraction form
   34,287/72,786 = 72,786/x
3. Step 3: Cross multiply
   34,287x = 72,786 × 72,786
4. Step 4: Simplify right side
   34,287x = 5,297,801,796
5. Step 5: Solve for x
   x = 5,297,801,796/34,287
6. Step 6: Final answer
   x = 154,513.42