Finding the Third Proportional to 7,887 and 13,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,887 : 13,648.50 = 13,648.50 : x
2. Step 2: Convert to fraction form
   7,887/13,648.50 = 13,648.50/x
3. Step 3: Cross multiply
   7,887x = 13,648.50 × 13,648.50
4. Step 4: Simplify right side
   7,887x = 186,281,552.25
5. Step 5: Solve for x
   x = 186,281,552.25/7,887
6. Step 6: Final answer
   x = 23,618.81