Finding the Third Proportional to 42,172 and 65,814

Step by Step Solution

1. Step 1: Write the proportion equation
   42,172 : 65,814 = 65,814 : x
2. Step 2: Convert to fraction form
   42,172/65,814 = 65,814/x
3. Step 3: Cross multiply
   42,172x = 65,814 × 65,814
4. Step 4: Simplify right side
   42,172x = 4,331,482,596
5. Step 5: Solve for x
   x = 4,331,482,596/42,172
6. Step 6: Final answer
   x = 102,709.92