Finding the Third Proportional to 6,141 and 8,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,141 : 8,776.50 = 8,776.50 : x
2. Step 2: Convert to fraction form
   6,141/8,776.50 = 8,776.50/x
3. Step 3: Cross multiply
   6,141x = 8,776.50 × 8,776.50
4. Step 4: Simplify right side
   6,141x = 77,026,952.25
5. Step 5: Solve for x
   x = 77,026,952.25/6,141
6. Step 6: Final answer
   x = 12,543.06