Finding the Third Proportional to 71,461 and 105,006

Step by Step Solution

1. Step 1: Write the proportion equation
   71,461 : 105,006 = 105,006 : x
2. Step 2: Convert to fraction form
   71,461/105,006 = 105,006/x
3. Step 3: Cross multiply
   71,461x = 105,006 × 105,006
4. Step 4: Simplify right side
   71,461x = 11,026,260,036
5. Step 5: Solve for x
   x = 11,026,260,036/71,461
6. Step 6: Final answer
   x = 154,297.59