Finding the Third Proportional to 6,477.71 and 10,312.43

Step by Step Solution

1. Step 1: Write the proportion equation
   6,477.71 : 10,312.43 = 10,312.43 : x
2. Step 2: Convert to fraction form
   6,477.71/10,312.43 = 10,312.43/x
3. Step 3: Cross multiply
   6,477.71x = 10,312.43 × 10,312.43
4. Step 4: Simplify right side
   6,477.71x = 106,346,236.27
5. Step 5: Solve for x
   x = 106,346,236.27/6,477.71
6. Step 6: Final answer
   x = 16,417.27