Finding the Third Proportional to 17,566 and 37,972

Step by Step Solution

1. Step 1: Write the proportion equation
   17,566 : 37,972 = 37,972 : x
2. Step 2: Convert to fraction form
   17,566/37,972 = 37,972/x
3. Step 3: Cross multiply
   17,566x = 37,972 × 37,972
4. Step 4: Simplify right side
   17,566x = 1,441,872,784
5. Step 5: Solve for x
   x = 1,441,872,784/17,566
6. Step 6: Final answer
   x = 82,083.16