Finding the Third Proportional to 30,152 and 65,658

Step by Step Solution

1. Step 1: Write the proportion equation
   30,152 : 65,658 = 65,658 : x
2. Step 2: Convert to fraction form
   30,152/65,658 = 65,658/x
3. Step 3: Cross multiply
   30,152x = 65,658 × 65,658
4. Step 4: Simplify right side
   30,152x = 4,310,972,964
5. Step 5: Solve for x
   x = 4,310,972,964/30,152
6. Step 6: Final answer
   x = 142,974.69