Finding the Third Proportional to 3,436.59 and 5,180.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,436.59 : 5,180.63 = 5,180.63 : x
2. Step 2: Convert to fraction form
   3,436.59/5,180.63 = 5,180.63/x
3. Step 3: Cross multiply
   3,436.59x = 5,180.63 × 5,180.63
4. Step 4: Simplify right side
   3,436.59x = 26,838,875.39
5. Step 5: Solve for x
   x = 26,838,875.39/3,436.59
6. Step 6: Final answer
   x = 7,809.73