Finding the Third Proportional to 17,776 and 38,240

Step by Step Solution

1. Step 1: Write the proportion equation
   17,776 : 38,240 = 38,240 : x
2. Step 2: Convert to fraction form
   17,776/38,240 = 38,240/x
3. Step 3: Cross multiply
   17,776x = 38,240 × 38,240
4. Step 4: Simplify right side
   17,776x = 1,462,297,600
5. Step 5: Solve for x
   x = 1,462,297,600/17,776
6. Step 6: Final answer
   x = 82,262.47