Finding the Third Proportional to 11,691 and 17,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,691 : 17,780.50 = 17,780.50 : x
2. Step 2: Convert to fraction form
   11,691/17,780.50 = 17,780.50/x
3. Step 3: Cross multiply
   11,691x = 17,780.50 × 17,780.50
4. Step 4: Simplify right side
   11,691x = 316,146,180.25
5. Step 5: Solve for x
   x = 316,146,180.25/11,691
6. Step 6: Final answer
   x = 27,041.84