Finding the Third Proportional to 71,724 and 105,282

Step by Step Solution

1. Step 1: Write the proportion equation
   71,724 : 105,282 = 105,282 : x
2. Step 2: Convert to fraction form
   71,724/105,282 = 105,282/x
3. Step 3: Cross multiply
   71,724x = 105,282 × 105,282
4. Step 4: Simplify right side
   71,724x = 11,084,299,524
5. Step 5: Solve for x
   x = 11,084,299,524/71,724
6. Step 6: Final answer
   x = 154,541.01