Finding the Third Proportional to 17,313 and 37,663

Step by Step Solution

1. Step 1: Write the proportion equation
   17,313 : 37,663 = 37,663 : x
2. Step 2: Convert to fraction form
   17,313/37,663 = 37,663/x
3. Step 3: Cross multiply
   17,313x = 37,663 × 37,663
4. Step 4: Simplify right side
   17,313x = 1,418,501,569
5. Step 5: Solve for x
   x = 1,418,501,569/17,313
6. Step 6: Final answer
   x = 81,932.74