Finding the Third Proportional to 1,005.50 and 1,925

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.50 : 1,925 = 1,925 : x
2. Step 2: Convert to fraction form
   1,005.50/1,925 = 1,925/x
3. Step 3: Cross multiply
   1,005.50x = 1,925 × 1,925
4. Step 4: Simplify right side
   1,005.50x = 3,705,625
5. Step 5: Solve for x
   x = 3,705,625/1,005.50
6. Step 6: Final answer
   x = 3,685.36