Finding the Third Proportional to 9,508.50 and 23,122.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,508.50 : 23,122.50 = 23,122.50 : x
2. Step 2: Convert to fraction form
   9,508.50/23,122.50 = 23,122.50/x
3. Step 3: Cross multiply
   9,508.50x = 23,122.50 × 23,122.50
4. Step 4: Simplify right side
   9,508.50x = 534,650,006.25
5. Step 5: Solve for x
   x = 534,650,006.25/9,508.50
6. Step 6: Final answer
   x = 56,228.64