Finding the Third Proportional to 13,983.77 and 21,682.05

Step by Step Solution

1. Step 1: Write the proportion equation
   13,983.77 : 21,682.05 = 21,682.05 : x
2. Step 2: Convert to fraction form
   13,983.77/21,682.05 = 21,682.05/x
3. Step 3: Cross multiply
   13,983.77x = 21,682.05 × 21,682.05
4. Step 4: Simplify right side
   13,983.77x = 470,111,495.47
5. Step 5: Solve for x
   x = 470,111,495.47/13,983.77
6. Step 6: Final answer
   x = 33,618.36