Finding the Third Proportional to 1,897.50 and 4,140.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,897.50 : 4,140.94 = 4,140.94 : x
2. Step 2: Convert to fraction form
   1,897.50/4,140.94 = 4,140.94/x
3. Step 3: Cross multiply
   1,897.50x = 4,140.94 × 4,140.94
4. Step 4: Simplify right side
   1,897.50x = 17,147,363.38
5. Step 5: Solve for x
   x = 17,147,363.38/1,897.50
6. Step 6: Final answer
   x = 9,036.82