Finding the Third Proportional to 17,378 and 37,458

Step by Step Solution

1. Step 1: Write the proportion equation
   17,378 : 37,458 = 37,458 : x
2. Step 2: Convert to fraction form
   17,378/37,458 = 37,458/x
3. Step 3: Cross multiply
   17,378x = 37,458 × 37,458
4. Step 4: Simplify right side
   17,378x = 1,403,101,764
5. Step 5: Solve for x
   x = 1,403,101,764/17,378
6. Step 6: Final answer
   x = 80,740.12