Finding the Third Proportional to 11,610 and 18,526.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,610 : 18,526.50 = 18,526.50 : x
2. Step 2: Convert to fraction form
   11,610/18,526.50 = 18,526.50/x
3. Step 3: Cross multiply
   11,610x = 18,526.50 × 18,526.50
4. Step 4: Simplify right side
   11,610x = 343,231,202.25
5. Step 5: Solve for x
   x = 343,231,202.25/11,610
6. Step 6: Final answer
   x = 29,563.41