Finding the Third Proportional to 39,974 and 58,665

Step by Step Solution

1. Step 1: Write the proportion equation
   39,974 : 58,665 = 58,665 : x
2. Step 2: Convert to fraction form
   39,974/58,665 = 58,665/x
3. Step 3: Cross multiply
   39,974x = 58,665 × 58,665
4. Step 4: Simplify right side
   39,974x = 3,441,582,225
5. Step 5: Solve for x
   x = 3,441,582,225/39,974
6. Step 6: Final answer
   x = 86,095.52