Finding the Third Proportional to 17,269 and 37,777

Step by Step Solution

1. Step 1: Write the proportion equation
   17,269 : 37,777 = 37,777 : x
2. Step 2: Convert to fraction form
   17,269/37,777 = 37,777/x
3. Step 3: Cross multiply
   17,269x = 37,777 × 37,777
4. Step 4: Simplify right side
   17,269x = 1,427,101,729
5. Step 5: Solve for x
   x = 1,427,101,729/17,269
6. Step 6: Final answer
   x = 82,639.51