Finding the Third Proportional to 37,882 and 58,735

Step by Step Solution

1. Step 1: Write the proportion equation
   37,882 : 58,735 = 58,735 : x
2. Step 2: Convert to fraction form
   37,882/58,735 = 58,735/x
3. Step 3: Cross multiply
   37,882x = 58,735 × 58,735
4. Step 4: Simplify right side
   37,882x = 3,449,800,225
5. Step 5: Solve for x
   x = 3,449,800,225/37,882
6. Step 6: Final answer
   x = 91,067.00