Finding the Third Proportional to 7,498.78 and 16,409.95

Step by Step Solution

1. Step 1: Write the proportion equation
   7,498.78 : 16,409.95 = 16,409.95 : x
2. Step 2: Convert to fraction form
   7,498.78/16,409.95 = 16,409.95/x
3. Step 3: Cross multiply
   7,498.78x = 16,409.95 × 16,409.95
4. Step 4: Simplify right side
   7,498.78x = 269,286,561.56
5. Step 5: Solve for x
   x = 269,286,561.56/7,498.78
6. Step 6: Final answer
   x = 35,910.71