Finding the Third Proportional to 3,577.50 and 5,696.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,577.50 : 5,696.25 = 5,696.25 : x
2. Step 2: Convert to fraction form
   3,577.50/5,696.25 = 5,696.25/x
3. Step 3: Cross multiply
   3,577.50x = 5,696.25 × 5,696.25
4. Step 4: Simplify right side
   3,577.50x = 32,447,264.06
5. Step 5: Solve for x
   x = 32,447,264.06/3,577.50
6. Step 6: Final answer
   x = 9,069.82