Finding the Third Proportional to 53,362 and 71,406

Step by Step Solution

1. Step 1: Write the proportion equation
   53,362 : 71,406 = 71,406 : x
2. Step 2: Convert to fraction form
   53,362/71,406 = 71,406/x
3. Step 3: Cross multiply
   53,362x = 71,406 × 71,406
4. Step 4: Simplify right side
   53,362x = 5,098,816,836
5. Step 5: Solve for x
   x = 5,098,816,836/53,362
6. Step 6: Final answer
   x = 95,551.46