Finding the Third Proportional to 11,677.50 and 18,130.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677.50 : 18,130.50 = 18,130.50 : x
2. Step 2: Convert to fraction form
   11,677.50/18,130.50 = 18,130.50/x
3. Step 3: Cross multiply
   11,677.50x = 18,130.50 × 18,130.50
4. Step 4: Simplify right side
   11,677.50x = 328,715,030.25
5. Step 5: Solve for x
   x = 328,715,030.25/11,677.50
6. Step 6: Final answer
   x = 28,149.44