Finding the Third Proportional to 17,597 and 37,969

Step by Step Solution

1. Step 1: Write the proportion equation
   17,597 : 37,969 = 37,969 : x
2. Step 2: Convert to fraction form
   17,597/37,969 = 37,969/x
3. Step 3: Cross multiply
   17,597x = 37,969 × 37,969
4. Step 4: Simplify right side
   17,597x = 1,441,644,961
5. Step 5: Solve for x
   x = 1,441,644,961/17,597
6. Step 6: Final answer
   x = 81,925.61