Finding the Third Proportional to 11,473 and 17,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,473 : 17,538.50 = 17,538.50 : x
2. Step 2: Convert to fraction form
   11,473/17,538.50 = 17,538.50/x
3. Step 3: Cross multiply
   11,473x = 17,538.50 × 17,538.50
4. Step 4: Simplify right side
   11,473x = 307,598,982.25
5. Step 5: Solve for x
   x = 307,598,982.25/11,473
6. Step 6: Final answer
   x = 26,810.68