Finding the Third Proportional to 11,377 and 17,551.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,377 : 17,551.50 = 17,551.50 : x
2. Step 2: Convert to fraction form
   11,377/17,551.50 = 17,551.50/x
3. Step 3: Cross multiply
   11,377x = 17,551.50 × 17,551.50
4. Step 4: Simplify right side
   11,377x = 308,055,152.25
5. Step 5: Solve for x
   x = 308,055,152.25/11,377
6. Step 6: Final answer
   x = 27,077.01