Finding the Third Proportional to 13,770 and 21,066.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,770 : 21,066.75 = 21,066.75 : x
2. Step 2: Convert to fraction form
   13,770/21,066.75 = 21,066.75/x
3. Step 3: Cross multiply
   13,770x = 21,066.75 × 21,066.75
4. Step 4: Simplify right side
   13,770x = 443,807,955.56
5. Step 5: Solve for x
   x = 443,807,955.56/13,770
6. Step 6: Final answer
   x = 32,230.06