Finding the Third Proportional to 23,194 and 31,073

Step by Step Solution

1. Step 1: Write the proportion equation
   23,194 : 31,073 = 31,073 : x
2. Step 2: Convert to fraction form
   23,194/31,073 = 31,073/x
3. Step 3: Cross multiply
   23,194x = 31,073 × 31,073
4. Step 4: Simplify right side
   23,194x = 965,531,329
5. Step 5: Solve for x
   x = 965,531,329/23,194
6. Step 6: Final answer
   x = 41,628.50