Finding the Third Proportional to 67,754 and 105,507

Step by Step Solution

1. Step 1: Write the proportion equation
   67,754 : 105,507 = 105,507 : x
2. Step 2: Convert to fraction form
   67,754/105,507 = 105,507/x
3. Step 3: Cross multiply
   67,754x = 105,507 × 105,507
4. Step 4: Simplify right side
   67,754x = 11,131,727,049
5. Step 5: Solve for x
   x = 11,131,727,049/67,754
6. Step 6: Final answer
   x = 164,296.23