Finding the Third Proportional to 1,662.50 and 2,607.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,662.50 : 2,607.88 = 2,607.88 : x
2. Step 2: Convert to fraction form
   1,662.50/2,607.88 = 2,607.88/x
3. Step 3: Cross multiply
   1,662.50x = 2,607.88 × 2,607.88
4. Step 4: Simplify right side
   1,662.50x = 6,801,012.02
5. Step 5: Solve for x
   x = 6,801,012.02/1,662.50
6. Step 6: Final answer
   x = 4,090.83