Finding the Third Proportional to 72,682 and 103,071

Step by Step Solution

1. Step 1: Write the proportion equation
   72,682 : 103,071 = 103,071 : x
2. Step 2: Convert to fraction form
   72,682/103,071 = 103,071/x
3. Step 3: Cross multiply
   72,682x = 103,071 × 103,071
4. Step 4: Simplify right side
   72,682x = 10,623,631,041
5. Step 5: Solve for x
   x = 10,623,631,041/72,682
6. Step 6: Final answer
   x = 146,165.92