Finding the Third Proportional to 13,770 and 21,849.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,770 : 21,849.75 = 21,849.75 : x
2. Step 2: Convert to fraction form
   13,770/21,849.75 = 21,849.75/x
3. Step 3: Cross multiply
   13,770x = 21,849.75 × 21,849.75
4. Step 4: Simplify right side
   13,770x = 477,411,575.06
5. Step 5: Solve for x
   x = 477,411,575.06/13,770
6. Step 6: Final answer
   x = 34,670.41