Finding the Third Proportional to 13,769.25 and 21,884.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,769.25 : 21,884.25 = 21,884.25 : x
2. Step 2: Convert to fraction form
   13,769.25/21,884.25 = 21,884.25/x
3. Step 3: Cross multiply
   13,769.25x = 21,884.25 × 21,884.25
4. Step 4: Simplify right side
   13,769.25x = 478,920,398.06
5. Step 5: Solve for x
   x = 478,920,398.06/13,769.25
6. Step 6: Final answer
   x = 34,781.88