Finding the Third Proportional to 8,127 and 10,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,127 : 10,543.50 = 10,543.50 : x
2. Step 2: Convert to fraction form
   8,127/10,543.50 = 10,543.50/x
3. Step 3: Cross multiply
   8,127x = 10,543.50 × 10,543.50
4. Step 4: Simplify right side
   8,127x = 111,165,392.25
5. Step 5: Solve for x
   x = 111,165,392.25/8,127
6. Step 6: Final answer
   x = 13,678.53