Finding the Third Proportional to 9,907.50 and 14,697.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,907.50 : 14,697.38 = 14,697.38 : x
2. Step 2: Convert to fraction form
   9,907.50/14,697.38 = 14,697.38/x
3. Step 3: Cross multiply
   9,907.50x = 14,697.38 × 14,697.38
4. Step 4: Simplify right side
   9,907.50x = 216,012,831.89
5. Step 5: Solve for x
   x = 216,012,831.89/9,907.50
6. Step 6: Final answer
   x = 21,802.96