Finding the Third Proportional to 892.50 and 1,910.25

Step by Step Solution

1. Step 1: Write the proportion equation
   892.50 : 1,910.25 = 1,910.25 : x
2. Step 2: Convert to fraction form
   892.50/1,910.25 = 1,910.25/x
3. Step 3: Cross multiply
   892.50x = 1,910.25 × 1,910.25
4. Step 4: Simplify right side
   892.50x = 3,649,055.06
5. Step 5: Solve for x
   x = 3,649,055.06/892.50
6. Step 6: Final answer
   x = 4,088.58