Finding the Third Proportional to 13,889 and 21,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,889 : 21,508.50 = 21,508.50 : x
2. Step 2: Convert to fraction form
   13,889/21,508.50 = 21,508.50/x
3. Step 3: Cross multiply
   13,889x = 21,508.50 × 21,508.50
4. Step 4: Simplify right side
   13,889x = 462,615,572.25
5. Step 5: Solve for x
   x = 462,615,572.25/13,889
6. Step 6: Final answer
   x = 33,308.05