Finding the Third Proportional to 35,583 and 77,010

Step by Step Solution

1. Step 1: Write the proportion equation
   35,583 : 77,010 = 77,010 : x
2. Step 2: Convert to fraction form
   35,583/77,010 = 77,010/x
3. Step 3: Cross multiply
   35,583x = 77,010 × 77,010
4. Step 4: Simplify right side
   35,583x = 5,930,540,100
5. Step 5: Solve for x
   x = 5,930,540,100/35,583
6. Step 6: Final answer
   x = 166,667.79