Finding the Third Proportional to 81,662 and 105,642

Step by Step Solution

1. Step 1: Write the proportion equation
   81,662 : 105,642 = 105,642 : x
2. Step 2: Convert to fraction form
   81,662/105,642 = 105,642/x
3. Step 3: Cross multiply
   81,662x = 105,642 × 105,642
4. Step 4: Simplify right side
   81,662x = 11,160,232,164
5. Step 5: Solve for x
   x = 11,160,232,164/81,662
6. Step 6: Final answer
   x = 136,663.71