Finding the Third Proportional to 13,837.50 and 21,998.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,837.50 : 21,998.25 = 21,998.25 : x
2. Step 2: Convert to fraction form
   13,837.50/21,998.25 = 21,998.25/x
3. Step 3: Cross multiply
   13,837.50x = 21,998.25 × 21,998.25
4. Step 4: Simplify right side
   13,837.50x = 483,923,003.06
5. Step 5: Solve for x
   x = 483,923,003.06/13,837.50
6. Step 6: Final answer
   x = 34,971.85