Finding the Third Proportional to 37,966 and 58,661

Step by Step Solution

1. Step 1: Write the proportion equation
   37,966 : 58,661 = 58,661 : x
2. Step 2: Convert to fraction form
   37,966/58,661 = 58,661/x
3. Step 3: Cross multiply
   37,966x = 58,661 × 58,661
4. Step 4: Simplify right side
   37,966x = 3,441,112,921
5. Step 5: Solve for x
   x = 3,441,112,921/37,966
6. Step 6: Final answer
   x = 90,636.70