Finding the Third Proportional to 13,977 and 19,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,977 : 19,552.50 = 19,552.50 : x
2. Step 2: Convert to fraction form
   13,977/19,552.50 = 19,552.50/x
3. Step 3: Cross multiply
   13,977x = 19,552.50 × 19,552.50
4. Step 4: Simplify right side
   13,977x = 382,300,256.25
5. Step 5: Solve for x
   x = 382,300,256.25/13,977
6. Step 6: Final answer
   x = 27,352.10