Finding the Third Proportional to 17,977 and 38,222

Step by Step Solution

1. Step 1: Write the proportion equation
   17,977 : 38,222 = 38,222 : x
2. Step 2: Convert to fraction form
   17,977/38,222 = 38,222/x
3. Step 3: Cross multiply
   17,977x = 38,222 × 38,222
4. Step 4: Simplify right side
   17,977x = 1,460,921,284
5. Step 5: Solve for x
   x = 1,460,921,284/17,977
6. Step 6: Final answer
   x = 81,266.13