Finding the Third Proportional to 13,770 and 21,487.78

Step by Step Solution

1. Step 1: Write the proportion equation
   13,770 : 21,487.78 = 21,487.78 : x
2. Step 2: Convert to fraction form
   13,770/21,487.78 = 21,487.78/x
3. Step 3: Cross multiply
   13,770x = 21,487.78 × 21,487.78
4. Step 4: Simplify right side
   13,770x = 461,724,743.05
5. Step 5: Solve for x
   x = 461,724,743.05/13,770
6. Step 6: Final answer
   x = 33,531.21