Finding the Third Proportional to 13,641.75 and 22,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,641.75 : 22,423.50 = 22,423.50 : x
2. Step 2: Convert to fraction form
   13,641.75/22,423.50 = 22,423.50/x
3. Step 3: Cross multiply
   13,641.75x = 22,423.50 × 22,423.50
4. Step 4: Simplify right side
   13,641.75x = 502,813,352.25
5. Step 5: Solve for x
   x = 502,813,352.25/13,641.75
6. Step 6: Final answer
   x = 36,858.42