Finding the Third Proportional to 37,674 and 59,643

Step by Step Solution

1. Step 1: Write the proportion equation
   37,674 : 59,643 = 59,643 : x
2. Step 2: Convert to fraction form
   37,674/59,643 = 59,643/x
3. Step 3: Cross multiply
   37,674x = 59,643 × 59,643
4. Step 4: Simplify right side
   37,674x = 3,557,287,449
5. Step 5: Solve for x
   x = 3,557,287,449/37,674
6. Step 6: Final answer
   x = 94,422.88