Finding the Third Proportional to 51,111 and 76,356

Step by Step Solution

1. Step 1: Write the proportion equation
   51,111 : 76,356 = 76,356 : x
2. Step 2: Convert to fraction form
   51,111/76,356 = 76,356/x
3. Step 3: Cross multiply
   51,111x = 76,356 × 76,356
4. Step 4: Simplify right side
   51,111x = 5,830,238,736
5. Step 5: Solve for x
   x = 5,830,238,736/51,111
6. Step 6: Final answer
   x = 114,070.14