Finding the Third Proportional to 27,098 and 42,231

Step by Step Solution

1. Step 1: Write the proportion equation
   27,098 : 42,231 = 42,231 : x
2. Step 2: Convert to fraction form
   27,098/42,231 = 42,231/x
3. Step 3: Cross multiply
   27,098x = 42,231 × 42,231
4. Step 4: Simplify right side
   27,098x = 1,783,457,361
5. Step 5: Solve for x
   x = 1,783,457,361/27,098
6. Step 6: Final answer
   x = 65,815.09