Finding the Third Proportional to 1,892.50 and 4,014

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.50 : 4,014 = 4,014 : x
2. Step 2: Convert to fraction form
   1,892.50/4,014 = 4,014/x
3. Step 3: Cross multiply
   1,892.50x = 4,014 × 4,014
4. Step 4: Simplify right side
   1,892.50x = 16,112,196
5. Step 5: Solve for x
   x = 16,112,196/1,892.50
6. Step 6: Final answer
   x = 8,513.71