Finding the Third Proportional to 1,642.50 and 2,415.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.50 : 2,415.75 = 2,415.75 : x
2. Step 2: Convert to fraction form
   1,642.50/2,415.75 = 2,415.75/x
3. Step 3: Cross multiply
   1,642.50x = 2,415.75 × 2,415.75
4. Step 4: Simplify right side
   1,642.50x = 5,835,848.06
5. Step 5: Solve for x
   x = 5,835,848.06/1,642.50
6. Step 6: Final answer
   x = 3,553.03