Finding the Third Proportional to 10,291.50 and 24,063.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,291.50 : 24,063.75 = 24,063.75 : x
2. Step 2: Convert to fraction form
   10,291.50/24,063.75 = 24,063.75/x
3. Step 3: Cross multiply
   10,291.50x = 24,063.75 × 24,063.75
4. Step 4: Simplify right side
   10,291.50x = 579,064,064.06
5. Step 5: Solve for x
   x = 579,064,064.06/10,291.50
6. Step 6: Final answer
   x = 56,266.25