Finding the Third Proportional to 3,595.50 and 5,264.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,595.50 : 5,264.25 = 5,264.25 : x
2. Step 2: Convert to fraction form
   3,595.50/5,264.25 = 5,264.25/x
3. Step 3: Cross multiply
   3,595.50x = 5,264.25 × 5,264.25
4. Step 4: Simplify right side
   3,595.50x = 27,712,328.06
5. Step 5: Solve for x
   x = 27,712,328.06/3,595.50
6. Step 6: Final answer
   x = 7,707.50