Finding the Third Proportional to 51,825 and 76,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,825 : 76,036.50 = 76,036.50 : x
2. Step 2: Convert to fraction form
   51,825/76,036.50 = 76,036.50/x
3. Step 3: Cross multiply
   51,825x = 76,036.50 × 76,036.50
4. Step 4: Simplify right side
   51,825x = 5,781,549,332.25
5. Step 5: Solve for x
   x = 5,781,549,332.25/51,825
6. Step 6: Final answer
   x = 111,559.08