Finding the Third Proportional to 7,881 and 10,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,881 : 10,705.50 = 10,705.50 : x
2. Step 2: Convert to fraction form
   7,881/10,705.50 = 10,705.50/x
3. Step 3: Cross multiply
   7,881x = 10,705.50 × 10,705.50
4. Step 4: Simplify right side
   7,881x = 114,607,730.25
5. Step 5: Solve for x
   x = 114,607,730.25/7,881
6. Step 6: Final answer
   x = 14,542.28