Finding the Third Proportional to 11,175 and 14,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,175 : 14,773.50 = 14,773.50 : x
2. Step 2: Convert to fraction form
   11,175/14,773.50 = 14,773.50/x
3. Step 3: Cross multiply
   11,175x = 14,773.50 × 14,773.50
4. Step 4: Simplify right side
   11,175x = 218,256,302.25
5. Step 5: Solve for x
   x = 218,256,302.25/11,175
6. Step 6: Final answer
   x = 19,530.77