Finding the Third Proportional to 51,848.50 and 76,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,848.50 : 76,678.50 = 76,678.50 : x
2. Step 2: Convert to fraction form
   51,848.50/76,678.50 = 76,678.50/x
3. Step 3: Cross multiply
   51,848.50x = 76,678.50 × 76,678.50
4. Step 4: Simplify right side
   51,848.50x = 5,879,592,362.25
5. Step 5: Solve for x
   x = 5,879,592,362.25/51,848.50
6. Step 6: Final answer
   x = 113,399.47