Finding the Third Proportional to 6,322.31 and 9,106.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,322.31 : 9,106.88 = 9,106.88 : x
2. Step 2: Convert to fraction form
   6,322.31/9,106.88 = 9,106.88/x
3. Step 3: Cross multiply
   6,322.31x = 9,106.88 × 9,106.88
4. Step 4: Simplify right side
   6,322.31x = 82,935,172.27
5. Step 5: Solve for x
   x = 82,935,172.27/6,322.31
6. Step 6: Final answer
   x = 13,117.85