Finding the Third Proportional to 13,820.25 and 21,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,820.25 : 21,619.50 = 21,619.50 : x
2. Step 2: Convert to fraction form
   13,820.25/21,619.50 = 21,619.50/x
3. Step 3: Cross multiply
   13,820.25x = 21,619.50 × 21,619.50
4. Step 4: Simplify right side
   13,820.25x = 467,402,780.25
5. Step 5: Solve for x
   x = 467,402,780.25/13,820.25
6. Step 6: Final answer
   x = 33,820.14