Finding the Third Proportional to 53,306 and 71,114

Step by Step Solution

1. Step 1: Write the proportion equation
   53,306 : 71,114 = 71,114 : x
2. Step 2: Convert to fraction form
   53,306/71,114 = 71,114/x
3. Step 3: Cross multiply
   53,306x = 71,114 × 71,114
4. Step 4: Simplify right side
   53,306x = 5,057,200,996
5. Step 5: Solve for x
   x = 5,057,200,996/53,306
6. Step 6: Final answer
   x = 94,871.14