Finding the Third Proportional to 17,776 and 37,232

Step by Step Solution

1. Step 1: Write the proportion equation
   17,776 : 37,232 = 37,232 : x
2. Step 2: Convert to fraction form
   17,776/37,232 = 37,232/x
3. Step 3: Cross multiply
   17,776x = 37,232 × 37,232
4. Step 4: Simplify right side
   17,776x = 1,386,221,824
5. Step 5: Solve for x
   x = 1,386,221,824/17,776
6. Step 6: Final answer
   x = 77,982.78