Finding the Third Proportional to 13,676.25 and 21,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,676.25 : 21,424.50 = 21,424.50 : x
2. Step 2: Convert to fraction form
   13,676.25/21,424.50 = 21,424.50/x
3. Step 3: Cross multiply
   13,676.25x = 21,424.50 × 21,424.50
4. Step 4: Simplify right side
   13,676.25x = 459,009,200.25
5. Step 5: Solve for x
   x = 459,009,200.25/13,676.25
6. Step 6: Final answer
   x = 33,562.50