Finding the Third Proportional to 11,407.50 and 24,518.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,407.50 : 24,518.25 = 24,518.25 : x
2. Step 2: Convert to fraction form
   11,407.50/24,518.25 = 24,518.25/x
3. Step 3: Cross multiply
   11,407.50x = 24,518.25 × 24,518.25
4. Step 4: Simplify right side
   11,407.50x = 601,144,583.06
5. Step 5: Solve for x
   x = 601,144,583.06/11,407.50
6. Step 6: Final answer
   x = 52,697.31