Finding the Third Proportional to 35,912 and 77,116

Step by Step Solution

1. Step 1: Write the proportion equation
   35,912 : 77,116 = 77,116 : x
2. Step 2: Convert to fraction form
   35,912/77,116 = 77,116/x
3. Step 3: Cross multiply
   35,912x = 77,116 × 77,116
4. Step 4: Simplify right side
   35,912x = 5,946,877,456
5. Step 5: Solve for x
   x = 5,946,877,456/35,912
6. Step 6: Final answer
   x = 165,595.83