Finding the Third Proportional to 71,215 and 101,770

Step by Step Solution

1. Step 1: Write the proportion equation
   71,215 : 101,770 = 101,770 : x
2. Step 2: Convert to fraction form
   71,215/101,770 = 101,770/x
3. Step 3: Cross multiply
   71,215x = 101,770 × 101,770
4. Step 4: Simplify right side
   71,215x = 10,357,132,900
5. Step 5: Solve for x
   x = 10,357,132,900/71,215
6. Step 6: Final answer
   x = 145,434.71