Finding the Third Proportional to 45,966 and 71,460

Step by Step Solution

1. Step 1: Write the proportion equation
   45,966 : 71,460 = 71,460 : x
2. Step 2: Convert to fraction form
   45,966/71,460 = 71,460/x
3. Step 3: Cross multiply
   45,966x = 71,460 × 71,460
4. Step 4: Simplify right side
   45,966x = 5,106,531,600
5. Step 5: Solve for x
   x = 5,106,531,600/45,966
6. Step 6: Final answer
   x = 111,093.67