Finding the Third Proportional to 1,701.75 and 2,533.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,701.75 : 2,533.88 = 2,533.88 : x
2. Step 2: Convert to fraction form
   1,701.75/2,533.88 = 2,533.88/x
3. Step 3: Cross multiply
   1,701.75x = 2,533.88 × 2,533.88
4. Step 4: Simplify right side
   1,701.75x = 6,420,522.52
5. Step 5: Solve for x
   x = 6,420,522.52/1,701.75
6. Step 6: Final answer
   x = 3,772.89