Finding the Third Proportional to 38,824 and 58,605

Step by Step Solution

1. Step 1: Write the proportion equation
   38,824 : 58,605 = 58,605 : x
2. Step 2: Convert to fraction form
   38,824/58,605 = 58,605/x
3. Step 3: Cross multiply
   38,824x = 58,605 × 58,605
4. Step 4: Simplify right side
   38,824x = 3,434,546,025
5. Step 5: Solve for x
   x = 3,434,546,025/38,824
6. Step 6: Final answer
   x = 88,464.51