Finding the Third Proportional to 9,097.88 and 14,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,097.88 : 14,467.50 = 14,467.50 : x
2. Step 2: Convert to fraction form
   9,097.88/14,467.50 = 14,467.50/x
3. Step 3: Cross multiply
   9,097.88x = 14,467.50 × 14,467.50
4. Step 4: Simplify right side
   9,097.88x = 209,308,556.25
5. Step 5: Solve for x
   x = 209,308,556.25/9,097.88
6. Step 6: Final answer
   x = 23,006.31