Finding the Third Proportional to 11,580 and 17,530.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,580 : 17,530.50 = 17,530.50 : x
2. Step 2: Convert to fraction form
   11,580/17,530.50 = 17,530.50/x
3. Step 3: Cross multiply
   11,580x = 17,530.50 × 17,530.50
4. Step 4: Simplify right side
   11,580x = 307,318,430.25
5. Step 5: Solve for x
   x = 307,318,430.25/11,580
6. Step 6: Final answer
   x = 26,538.72