Finding the Third Proportional to 30,132 and 65,358

Step by Step Solution

1. Step 1: Write the proportion equation
   30,132 : 65,358 = 65,358 : x
2. Step 2: Convert to fraction form
   30,132/65,358 = 65,358/x
3. Step 3: Cross multiply
   30,132x = 65,358 × 65,358
4. Step 4: Simplify right side
   30,132x = 4,271,668,164
5. Step 5: Solve for x
   x = 4,271,668,164/30,132
6. Step 6: Final answer
   x = 141,765.17