Finding the Third Proportional to 1,654 and 3,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,654 : 3,699.50 = 3,699.50 : x
2. Step 2: Convert to fraction form
   1,654/3,699.50 = 3,699.50/x
3. Step 3: Cross multiply
   1,654x = 3,699.50 × 3,699.50
4. Step 4: Simplify right side
   1,654x = 13,686,300.25
5. Step 5: Solve for x
   x = 13,686,300.25/1,654
6. Step 6: Final answer
   x = 8,274.67