Finding the Third Proportional to 13,977 and 21,100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,977 : 21,100.50 = 21,100.50 : x
2. Step 2: Convert to fraction form
   13,977/21,100.50 = 21,100.50/x
3. Step 3: Cross multiply
   13,977x = 21,100.50 × 21,100.50
4. Step 4: Simplify right side
   13,977x = 445,231,100.25
5. Step 5: Solve for x
   x = 445,231,100.25/13,977
6. Step 6: Final answer
   x = 31,854.55