Finding the Third Proportional to 42,014 and 65,053

Step by Step Solution

1. Step 1: Write the proportion equation
   42,014 : 65,053 = 65,053 : x
2. Step 2: Convert to fraction form
   42,014/65,053 = 65,053/x
3. Step 3: Cross multiply
   42,014x = 65,053 × 65,053
4. Step 4: Simplify right side
   42,014x = 4,231,892,809
5. Step 5: Solve for x
   x = 4,231,892,809/42,014
6. Step 6: Final answer
   x = 100,725.78