Finding the Third Proportional to 37,656 and 59,616

Step by Step Solution

1. Step 1: Write the proportion equation
   37,656 : 59,616 = 59,616 : x
2. Step 2: Convert to fraction form
   37,656/59,616 = 59,616/x
3. Step 3: Cross multiply
   37,656x = 59,616 × 59,616
4. Step 4: Simplify right side
   37,656x = 3,554,067,456
5. Step 5: Solve for x
   x = 3,554,067,456/37,656
6. Step 6: Final answer
   x = 94,382.50