Finding the Third Proportional to 35,616 and 76,942

Step by Step Solution

1. Step 1: Write the proportion equation
   35,616 : 76,942 = 76,942 : x
2. Step 2: Convert to fraction form
   35,616/76,942 = 76,942/x
3. Step 3: Cross multiply
   35,616x = 76,942 × 76,942
4. Step 4: Simplify right side
   35,616x = 5,920,071,364
5. Step 5: Solve for x
   x = 5,920,071,364/35,616
6. Step 6: Final answer
   x = 166,219.43