Finding the Third Proportional to 1,190.32 and 2,617.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,190.32 : 2,617.63 = 2,617.63 : x
2. Step 2: Convert to fraction form
   1,190.32/2,617.63 = 2,617.63/x
3. Step 3: Cross multiply
   1,190.32x = 2,617.63 × 2,617.63
4. Step 4: Simplify right side
   1,190.32x = 6,851,981.09
5. Step 5: Solve for x
   x = 6,851,981.09/1,190.32
6. Step 6: Final answer
   x = 5,756.42