Finding the Third Proportional to 23,557.50 and 51,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,557.50 : 51,205.50 = 51,205.50 : x
2. Step 2: Convert to fraction form
   23,557.50/51,205.50 = 51,205.50/x
3. Step 3: Cross multiply
   23,557.50x = 51,205.50 × 51,205.50
4. Step 4: Simplify right side
   23,557.50x = 2,622,003,230.25
5. Step 5: Solve for x
   x = 2,622,003,230.25/23,557.50
6. Step 6: Final answer
   x = 111,302.27