Finding the Third Proportional to 42,120 and 65,714

Step by Step Solution

1. Step 1: Write the proportion equation
   42,120 : 65,714 = 65,714 : x
2. Step 2: Convert to fraction form
   42,120/65,714 = 65,714/x
3. Step 3: Cross multiply
   42,120x = 65,714 × 65,714
4. Step 4: Simplify right side
   42,120x = 4,318,329,796
5. Step 5: Solve for x
   x = 4,318,329,796/42,120
6. Step 6: Final answer
   x = 102,524.45