Finding the Third Proportional to 71,709 and 105,093

Step by Step Solution

1. Step 1: Write the proportion equation
   71,709 : 105,093 = 105,093 : x
2. Step 2: Convert to fraction form
   71,709/105,093 = 105,093/x
3. Step 3: Cross multiply
   71,709x = 105,093 × 105,093
4. Step 4: Simplify right side
   71,709x = 11,044,538,649
5. Step 5: Solve for x
   x = 11,044,538,649/71,709
6. Step 6: Final answer
   x = 154,018.86