Finding the Third Proportional to 30,140 and 34,520

Step by Step Solution

1. Step 1: Write the proportion equation
   30,140 : 34,520 = 34,520 : x
2. Step 2: Convert to fraction form
   30,140/34,520 = 34,520/x
3. Step 3: Cross multiply
   30,140x = 34,520 × 34,520
4. Step 4: Simplify right side
   30,140x = 1,191,630,400
5. Step 5: Solve for x
   x = 1,191,630,400/30,140
6. Step 6: Final answer
   x = 39,536.51