Finding the Third Proportional to 35,584.50 and 77,013

Step by Step Solution

1. Step 1: Write the proportion equation
   35,584.50 : 77,013 = 77,013 : x
2. Step 2: Convert to fraction form
   35,584.50/77,013 = 77,013/x
3. Step 3: Cross multiply
   35,584.50x = 77,013 × 77,013
4. Step 4: Simplify right side
   35,584.50x = 5,931,002,169
5. Step 5: Solve for x
   x = 5,931,002,169/35,584.50
6. Step 6: Final answer
   x = 166,673.75