Finding the Third Proportional to 4,005.75 and 5,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,005.75 : 5,602.50 = 5,602.50 : x
2. Step 2: Convert to fraction form
   4,005.75/5,602.50 = 5,602.50/x
3. Step 3: Cross multiply
   4,005.75x = 5,602.50 × 5,602.50
4. Step 4: Simplify right side
   4,005.75x = 31,388,006.25
5. Step 5: Solve for x
   x = 31,388,006.25/4,005.75
6. Step 6: Final answer
   x = 7,835.74