Finding the Third Proportional to 1,897.38 and 4,106.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,897.38 : 4,106.69 = 4,106.69 : x
2. Step 2: Convert to fraction form
   1,897.38/4,106.69 = 4,106.69/x
3. Step 3: Cross multiply
   1,897.38x = 4,106.69 × 4,106.69
4. Step 4: Simplify right side
   1,897.38x = 16,864,882.22
5. Step 5: Solve for x
   x = 16,864,882.22/1,897.38
6. Step 6: Final answer
   x = 8,888.53