Finding the Third Proportional to 1,172.25 and 2,577.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,172.25 : 2,577.38 = 2,577.38 : x
2. Step 2: Convert to fraction form
   1,172.25/2,577.38 = 2,577.38/x
3. Step 3: Cross multiply
   1,172.25x = 2,577.38 × 2,577.38
4. Step 4: Simplify right side
   1,172.25x = 6,642,861.89
5. Step 5: Solve for x
   x = 6,642,861.89/1,172.25
6. Step 6: Final answer
   x = 5,666.76