Finding the Third Proportional to 23,569 and 51,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,569 : 51,291.50 = 51,291.50 : x
2. Step 2: Convert to fraction form
   23,569/51,291.50 = 51,291.50/x
3. Step 3: Cross multiply
   23,569x = 51,291.50 × 51,291.50
4. Step 4: Simplify right side
   23,569x = 2,630,817,972.25
5. Step 5: Solve for x
   x = 2,630,817,972.25/23,569
6. Step 6: Final answer
   x = 111,621.96