Finding the Third Proportional to 23,138 and 31,354

Step by Step Solution

1. Step 1: Write the proportion equation
   23,138 : 31,354 = 31,354 : x
2. Step 2: Convert to fraction form
   23,138/31,354 = 31,354/x
3. Step 3: Cross multiply
   23,138x = 31,354 × 31,354
4. Step 4: Simplify right side
   23,138x = 983,073,316
5. Step 5: Solve for x
   x = 983,073,316/23,138
6. Step 6: Final answer
   x = 42,487.39