Finding the Third Proportional to 11,056.50 and 23,138.16

Step by Step Solution

1. Step 1: Write the proportion equation
   11,056.50 : 23,138.16 = 23,138.16 : x
2. Step 2: Convert to fraction form
   11,056.50/23,138.16 = 23,138.16/x
3. Step 3: Cross multiply
   11,056.50x = 23,138.16 × 23,138.16
4. Step 4: Simplify right side
   11,056.50x = 535,374,274.65
5. Step 5: Solve for x
   x = 535,374,274.65/11,056.50
6. Step 6: Final answer
   x = 48,421.68