Finding the Third Proportional to 5,846.34 and 12,923.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,846.34 : 12,923.16 = 12,923.16 : x
2. Step 2: Convert to fraction form
   5,846.34/12,923.16 = 12,923.16/x
3. Step 3: Cross multiply
   5,846.34x = 12,923.16 × 12,923.16
4. Step 4: Simplify right side
   5,846.34x = 167,007,967.46
5. Step 5: Solve for x
   x = 167,007,967.46/5,846.34
6. Step 6: Final answer
   x = 28,566.22