Finding the Third Proportional to 1,892.50 and 4,001.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.50 : 4,001.38 = 4,001.38 : x
2. Step 2: Convert to fraction form
   1,892.50/4,001.38 = 4,001.38/x
3. Step 3: Cross multiply
   1,892.50x = 4,001.38 × 4,001.38
4. Step 4: Simplify right side
   1,892.50x = 16,011,001.89
5. Step 5: Solve for x
   x = 16,011,001.89/1,892.50
6. Step 6: Final answer
   x = 8,460.24