Finding the Third Proportional to 13,877.16 and 21,161.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,877.16 : 21,161.25 = 21,161.25 : x
2. Step 2: Convert to fraction form
   13,877.16/21,161.25 = 21,161.25/x
3. Step 3: Cross multiply
   13,877.16x = 21,161.25 × 21,161.25
4. Step 4: Simplify right side
   13,877.16x = 447,798,501.56
5. Step 5: Solve for x
   x = 447,798,501.56/13,877.16
6. Step 6: Final answer
   x = 32,268.75