Finding the Third Proportional to 10,401.75 and 12,345.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.75 : 12,345.75 = 12,345.75 : x
2. Step 2: Convert to fraction form
   10,401.75/12,345.75 = 12,345.75/x
3. Step 3: Cross multiply
   10,401.75x = 12,345.75 × 12,345.75
4. Step 4: Simplify right side
   10,401.75x = 152,417,543.06
5. Step 5: Solve for x
   x = 152,417,543.06/10,401.75
6. Step 6: Final answer
   x = 14,653.07