Finding the Third Proportional to 1,852.50 and 4,062

Step by Step Solution

1. Step 1: Write the proportion equation
   1,852.50 : 4,062 = 4,062 : x
2. Step 2: Convert to fraction form
   1,852.50/4,062 = 4,062/x
3. Step 3: Cross multiply
   1,852.50x = 4,062 × 4,062
4. Step 4: Simplify right side
   1,852.50x = 16,499,844
5. Step 5: Solve for x
   x = 16,499,844/1,852.50
6. Step 6: Final answer
   x = 8,906.80