Finding the Third Proportional to 36,624 and 58,208

Step by Step Solution

1. Step 1: Write the proportion equation
   36,624 : 58,208 = 58,208 : x
2. Step 2: Convert to fraction form
   36,624/58,208 = 58,208/x
3. Step 3: Cross multiply
   36,624x = 58,208 × 58,208
4. Step 4: Simplify right side
   36,624x = 3,388,171,264
5. Step 5: Solve for x
   x = 3,388,171,264/36,624
6. Step 6: Final answer
   x = 92,512.32