Finding the Third Proportional to 39,664 and 58,399

Step by Step Solution

1. Step 1: Write the proportion equation
   39,664 : 58,399 = 58,399 : x
2. Step 2: Convert to fraction form
   39,664/58,399 = 58,399/x
3. Step 3: Cross multiply
   39,664x = 58,399 × 58,399
4. Step 4: Simplify right side
   39,664x = 3,410,443,201
5. Step 5: Solve for x
   x = 3,410,443,201/39,664
6. Step 6: Final answer
   x = 85,983.34