Finding the Third Proportional to 10,558.50 and 11,530.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,558.50 : 11,530.50 = 11,530.50 : x
2. Step 2: Convert to fraction form
   10,558.50/11,530.50 = 11,530.50/x
3. Step 3: Cross multiply
   10,558.50x = 11,530.50 × 11,530.50
4. Step 4: Simplify right side
   10,558.50x = 132,952,430.25
5. Step 5: Solve for x
   x = 132,952,430.25/10,558.50
6. Step 6: Final answer
   x = 12,591.98