Finding the Third Proportional to 13,923 and 21,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,923 : 21,298.50 = 21,298.50 : x
2. Step 2: Convert to fraction form
   13,923/21,298.50 = 21,298.50/x
3. Step 3: Cross multiply
   13,923x = 21,298.50 × 21,298.50
4. Step 4: Simplify right side
   13,923x = 453,626,102.25
5. Step 5: Solve for x
   x = 453,626,102.25/13,923
6. Step 6: Final answer
   x = 32,581.06