Finding the Third Proportional to 38,824 and 58,958

Step by Step Solution

1. Step 1: Write the proportion equation
   38,824 : 58,958 = 58,958 : x
2. Step 2: Convert to fraction form
   38,824/58,958 = 58,958/x
3. Step 3: Cross multiply
   38,824x = 58,958 × 58,958
4. Step 4: Simplify right side
   38,824x = 3,476,045,764
5. Step 5: Solve for x
   x = 3,476,045,764/38,824
6. Step 6: Final answer
   x = 89,533.43