Finding the Third Proportional to 51,310 and 77,116

Step by Step Solution

1. Step 1: Write the proportion equation
   51,310 : 77,116 = 77,116 : x
2. Step 2: Convert to fraction form
   51,310/77,116 = 77,116/x
3. Step 3: Cross multiply
   51,310x = 77,116 × 77,116
4. Step 4: Simplify right side
   51,310x = 5,946,877,456
5. Step 5: Solve for x
   x = 5,946,877,456/51,310
6. Step 6: Final answer
   x = 115,900.94