Finding the Third Proportional to 13,767.25 and 21,881.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,767.25 : 21,881.50 = 21,881.50 : x
2. Step 2: Convert to fraction form
   13,767.25/21,881.50 = 21,881.50/x
3. Step 3: Cross multiply
   13,767.25x = 21,881.50 × 21,881.50
4. Step 4: Simplify right side
   13,767.25x = 478,800,042.25
5. Step 5: Solve for x
   x = 478,800,042.25/13,767.25
6. Step 6: Final answer
   x = 34,778.19