Finding the Third Proportional to 51,776 and 75,152

Step by Step Solution

1. Step 1: Write the proportion equation
   51,776 : 75,152 = 75,152 : x
2. Step 2: Convert to fraction form
   51,776/75,152 = 75,152/x
3. Step 3: Cross multiply
   51,776x = 75,152 × 75,152
4. Step 4: Simplify right side
   51,776x = 5,647,823,104
5. Step 5: Solve for x
   x = 5,647,823,104/51,776
6. Step 6: Final answer
   x = 109,081.87