Finding the Third Proportional to 7,942.50 and 10,095.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,942.50 : 10,095.75 = 10,095.75 : x
2. Step 2: Convert to fraction form
   7,942.50/10,095.75 = 10,095.75/x
3. Step 3: Cross multiply
   7,942.50x = 10,095.75 × 10,095.75
4. Step 4: Simplify right side
   7,942.50x = 101,924,168.06
5. Step 5: Solve for x
   x = 101,924,168.06/7,942.50
6. Step 6: Final answer
   x = 12,832.76