Finding the Third Proportional to 1,606 and 1,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,606 : 1,835.50 = 1,835.50 : x
2. Step 2: Convert to fraction form
   1,606/1,835.50 = 1,835.50/x
3. Step 3: Cross multiply
   1,606x = 1,835.50 × 1,835.50
4. Step 4: Simplify right side
   1,606x = 3,369,060.25
5. Step 5: Solve for x
   x = 3,369,060.25/1,606
6. Step 6: Final answer
   x = 2,097.80