Finding the Third Proportional to 12,042 and 12,975.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,042 : 12,975.75 = 12,975.75 : x
2. Step 2: Convert to fraction form
   12,042/12,975.75 = 12,975.75/x
3. Step 3: Cross multiply
   12,042x = 12,975.75 × 12,975.75
4. Step 4: Simplify right side
   12,042x = 168,370,088.06
5. Step 5: Solve for x
   x = 168,370,088.06/12,042
6. Step 6: Final answer
   x = 13,981.90