Finding the Third Proportional to 7,946.86 and 10,792.93

Step by Step Solution

1. Step 1: Write the proportion equation
   7,946.86 : 10,792.93 = 10,792.93 : x
2. Step 2: Convert to fraction form
   7,946.86/10,792.93 = 10,792.93/x
3. Step 3: Cross multiply
   7,946.86x = 10,792.93 × 10,792.93
4. Step 4: Simplify right side
   7,946.86x = 116,487,415.56
5. Step 5: Solve for x
   x = 116,487,415.56/7,946.86
6. Step 6: Final answer
   x = 14,658.30