Finding the Third Proportional to 11,733 and 17,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,733 : 17,539.50 = 17,539.50 : x
2. Step 2: Convert to fraction form
   11,733/17,539.50 = 17,539.50/x
3. Step 3: Cross multiply
   11,733x = 17,539.50 × 17,539.50
4. Step 4: Simplify right side
   11,733x = 307,634,060.25
5. Step 5: Solve for x
   x = 307,634,060.25/11,733
6. Step 6: Final answer
   x = 26,219.56