Finding the Third Proportional to 51,844.50 and 75,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,844.50 : 75,822.50 = 75,822.50 : x
2. Step 2: Convert to fraction form
   51,844.50/75,822.50 = 75,822.50/x
3. Step 3: Cross multiply
   51,844.50x = 75,822.50 × 75,822.50
4. Step 4: Simplify right side
   51,844.50x = 5,749,051,506.25
5. Step 5: Solve for x
   x = 5,749,051,506.25/51,844.50
6. Step 6: Final answer
   x = 110,890.29