Finding the Third Proportional to 30,186 and 65,562

Step by Step Solution

1. Step 1: Write the proportion equation
   30,186 : 65,562 = 65,562 : x
2. Step 2: Convert to fraction form
   30,186/65,562 = 65,562/x
3. Step 3: Cross multiply
   30,186x = 65,562 × 65,562
4. Step 4: Simplify right side
   30,186x = 4,298,375,844
5. Step 5: Solve for x
   x = 4,298,375,844/30,186
6. Step 6: Final answer
   x = 142,396.34