Finding the Third Proportional to 37,662 and 59,625

Step by Step Solution

1. Step 1: Write the proportion equation
   37,662 : 59,625 = 59,625 : x
2. Step 2: Convert to fraction form
   37,662/59,625 = 59,625/x
3. Step 3: Cross multiply
   37,662x = 59,625 × 59,625
4. Step 4: Simplify right side
   37,662x = 3,555,140,625
5. Step 5: Solve for x
   x = 3,555,140,625/37,662
6. Step 6: Final answer
   x = 94,395.96