Finding the Third Proportional to 65,014 and 103,442

Step by Step Solution

1. Step 1: Write the proportion equation
   65,014 : 103,442 = 103,442 : x
2. Step 2: Convert to fraction form
   65,014/103,442 = 103,442/x
3. Step 3: Cross multiply
   65,014x = 103,442 × 103,442
4. Step 4: Simplify right side
   65,014x = 10,700,247,364
5. Step 5: Solve for x
   x = 10,700,247,364/65,014
6. Step 6: Final answer
   x = 164,583.74