Finding the Third Proportional to 17,601 and 37,509

Step by Step Solution

1. Step 1: Write the proportion equation
   17,601 : 37,509 = 37,509 : x
2. Step 2: Convert to fraction form
   17,601/37,509 = 37,509/x
3. Step 3: Cross multiply
   17,601x = 37,509 × 37,509
4. Step 4: Simplify right side
   17,601x = 1,406,925,081
5. Step 5: Solve for x
   x = 1,406,925,081/17,601
6. Step 6: Final answer
   x = 79,934.38