Finding the Third Proportional to 34,254 and 81,144

Step by Step Solution

1. Step 1: Write the proportion equation
   34,254 : 81,144 = 81,144 : x
2. Step 2: Convert to fraction form
   34,254/81,144 = 81,144/x
3. Step 3: Cross multiply
   34,254x = 81,144 × 81,144
4. Step 4: Simplify right side
   34,254x = 6,584,348,736
5. Step 5: Solve for x
   x = 6,584,348,736/34,254
6. Step 6: Final answer
   x = 192,221.31