Finding the Third Proportional to 17,271 and 37,781

Step by Step Solution

1. Step 1: Write the proportion equation
   17,271 : 37,781 = 37,781 : x
2. Step 2: Convert to fraction form
   17,271/37,781 = 37,781/x
3. Step 3: Cross multiply
   17,271x = 37,781 × 37,781
4. Step 4: Simplify right side
   17,271x = 1,427,403,961
5. Step 5: Solve for x
   x = 1,427,403,961/17,271
6. Step 6: Final answer
   x = 82,647.44