Finding the Third Proportional to 10,464 and 22,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464 : 22,993.50 = 22,993.50 : x
2. Step 2: Convert to fraction form
   10,464/22,993.50 = 22,993.50/x
3. Step 3: Cross multiply
   10,464x = 22,993.50 × 22,993.50
4. Step 4: Simplify right side
   10,464x = 528,701,042.25
5. Step 5: Solve for x
   x = 528,701,042.25/10,464
6. Step 6: Final answer
   x = 50,525.71