Finding the Third Proportional to 37,735 and 59,701

Step by Step Solution

1. Step 1: Write the proportion equation
   37,735 : 59,701 = 59,701 : x
2. Step 2: Convert to fraction form
   37,735/59,701 = 59,701/x
3. Step 3: Cross multiply
   37,735x = 59,701 × 59,701
4. Step 4: Simplify right side
   37,735x = 3,564,209,401
5. Step 5: Solve for x
   x = 3,564,209,401/37,735
6. Step 6: Final answer
   x = 94,453.67