Finding the Third Proportional to 51,819 and 76,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,819 : 76,634.50 = 76,634.50 : x
2. Step 2: Convert to fraction form
   51,819/76,634.50 = 76,634.50/x
3. Step 3: Cross multiply
   51,819x = 76,634.50 × 76,634.50
4. Step 4: Simplify right side
   51,819x = 5,872,846,590.25
5. Step 5: Solve for x
   x = 5,872,846,590.25/51,819
6. Step 6: Final answer
   x = 113,333.85