Finding the Third Proportional to 852.50 and 2,054

Step by Step Solution

1. Step 1: Write the proportion equation
   852.50 : 2,054 = 2,054 : x
2. Step 2: Convert to fraction form
   852.50/2,054 = 2,054/x
3. Step 3: Cross multiply
   852.50x = 2,054 × 2,054
4. Step 4: Simplify right side
   852.50x = 4,218,916
5. Step 5: Solve for x
   x = 4,218,916/852.50
6. Step 6: Final answer
   x = 4,948.88