Finding the Third Proportional to 9,493.31 and 14,410.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,493.31 : 14,410.69 = 14,410.69 : x
2. Step 2: Convert to fraction form
   9,493.31/14,410.69 = 14,410.69/x
3. Step 3: Cross multiply
   9,493.31x = 14,410.69 × 14,410.69
4. Step 4: Simplify right side
   9,493.31x = 207,667,914.22
5. Step 5: Solve for x
   x = 207,667,914.22/9,493.31
6. Step 6: Final answer
   x = 21,875.18