Finding the Third Proportional to 51,846.50 and 75,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,846.50 : 75,825.50 = 75,825.50 : x
2. Step 2: Convert to fraction form
   51,846.50/75,825.50 = 75,825.50/x
3. Step 3: Cross multiply
   51,846.50x = 75,825.50 × 75,825.50
4. Step 4: Simplify right side
   51,846.50x = 5,749,506,450.25
5. Step 5: Solve for x
   x = 5,749,506,450.25/51,846.50
6. Step 6: Final answer
   x = 110,894.78