Finding the Third Proportional to 13,837.50 and 21,620.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,837.50 : 21,620.25 = 21,620.25 : x
2. Step 2: Convert to fraction form
   13,837.50/21,620.25 = 21,620.25/x
3. Step 3: Cross multiply
   13,837.50x = 21,620.25 × 21,620.25
4. Step 4: Simplify right side
   13,837.50x = 467,435,210.06
5. Step 5: Solve for x
   x = 467,435,210.06/13,837.50
6. Step 6: Final answer
   x = 33,780.32