Finding the Third Proportional to 10,477 and 13,987.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,477 : 13,987.50 = 13,987.50 : x
2. Step 2: Convert to fraction form
   10,477/13,987.50 = 13,987.50/x
3. Step 3: Cross multiply
   10,477x = 13,987.50 × 13,987.50
4. Step 4: Simplify right side
   10,477x = 195,650,156.25
5. Step 5: Solve for x
   x = 195,650,156.25/10,477
6. Step 6: Final answer
   x = 18,674.25