Finding the Third Proportional to 1,650 and 3,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,650 : 3,106.50 = 3,106.50 : x
2. Step 2: Convert to fraction form
   1,650/3,106.50 = 3,106.50/x
3. Step 3: Cross multiply
   1,650x = 3,106.50 × 3,106.50
4. Step 4: Simplify right side
   1,650x = 9,650,342.25
5. Step 5: Solve for x
   x = 9,650,342.25/1,650
6. Step 6: Final answer
   x = 5,848.69