Finding the Third Proportional to 71,696 and 105,072

Step by Step Solution

1. Step 1: Write the proportion equation
   71,696 : 105,072 = 105,072 : x
2. Step 2: Convert to fraction form
   71,696/105,072 = 105,072/x
3. Step 3: Cross multiply
   71,696x = 105,072 × 105,072
4. Step 4: Simplify right side
   71,696x = 11,040,125,184
5. Step 5: Solve for x
   x = 11,040,125,184/71,696
6. Step 6: Final answer
   x = 153,985.23