Finding the Third Proportional to 35,588 and 77,020

Step by Step Solution

1. Step 1: Write the proportion equation
   35,588 : 77,020 = 77,020 : x
2. Step 2: Convert to fraction form
   35,588/77,020 = 77,020/x
3. Step 3: Cross multiply
   35,588x = 77,020 × 77,020
4. Step 4: Simplify right side
   35,588x = 5,932,080,400
5. Step 5: Solve for x
   x = 5,932,080,400/35,588
6. Step 6: Final answer
   x = 166,687.66