Finding the Third Proportional to 42,416 and 67,153

Step by Step Solution

1. Step 1: Write the proportion equation
   42,416 : 67,153 = 67,153 : x
2. Step 2: Convert to fraction form
   42,416/67,153 = 67,153/x
3. Step 3: Cross multiply
   42,416x = 67,153 × 67,153
4. Step 4: Simplify right side
   42,416x = 4,509,525,409
5. Step 5: Solve for x
   x = 4,509,525,409/42,416
6. Step 6: Final answer
   x = 106,316.61