Finding the Third Proportional to 35,584 and 77,012

Step by Step Solution

1. Step 1: Write the proportion equation
   35,584 : 77,012 = 77,012 : x
2. Step 2: Convert to fraction form
   35,584/77,012 = 77,012/x
3. Step 3: Cross multiply
   35,584x = 77,012 × 77,012
4. Step 4: Simplify right side
   35,584x = 5,930,848,144
5. Step 5: Solve for x
   x = 5,930,848,144/35,584
6. Step 6: Final answer
   x = 166,671.77