Finding the Third Proportional to 13,887 and 32,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,887 : 32,863.50 = 32,863.50 : x
2. Step 2: Convert to fraction form
   13,887/32,863.50 = 32,863.50/x
3. Step 3: Cross multiply
   13,887x = 32,863.50 × 32,863.50
4. Step 4: Simplify right side
   13,887x = 1,080,009,632.25
5. Step 5: Solve for x
   x = 1,080,009,632.25/13,887
6. Step 6: Final answer
   x = 77,771.27