Finding the Third Proportional to 67,748 and 100,642

Step by Step Solution

1. Step 1: Write the proportion equation
   67,748 : 100,642 = 100,642 : x
2. Step 2: Convert to fraction form
   67,748/100,642 = 100,642/x
3. Step 3: Cross multiply
   67,748x = 100,642 × 100,642
4. Step 4: Simplify right side
   67,748x = 10,128,812,164
5. Step 5: Solve for x
   x = 10,128,812,164/67,748
6. Step 6: Final answer
   x = 149,507.18