Finding the Third Proportional to 30,142 and 34,522

Step by Step Solution

1. Step 1: Write the proportion equation
   30,142 : 34,522 = 34,522 : x
2. Step 2: Convert to fraction form
   30,142/34,522 = 34,522/x
3. Step 3: Cross multiply
   30,142x = 34,522 × 34,522
4. Step 4: Simplify right side
   30,142x = 1,191,768,484
5. Step 5: Solve for x
   x = 1,191,768,484/30,142
6. Step 6: Final answer
   x = 39,538.47