Finding the Third Proportional to 7,820 and 10,046

Step by Step Solution

1. Step 1: Write the proportion equation
   7,820 : 10,046 = 10,046 : x
2. Step 2: Convert to fraction form
   7,820/10,046 = 10,046/x
3. Step 3: Cross multiply
   7,820x = 10,046 × 10,046
4. Step 4: Simplify right side
   7,820x = 100,922,116
5. Step 5: Solve for x
   x = 100,922,116/7,820
6. Step 6: Final answer
   x = 12,905.64