Finding the Third Proportional to 23,038 and 34,645

Step by Step Solution

1. Step 1: Write the proportion equation
   23,038 : 34,645 = 34,645 : x
2. Step 2: Convert to fraction form
   23,038/34,645 = 34,645/x
3. Step 3: Cross multiply
   23,038x = 34,645 × 34,645
4. Step 4: Simplify right side
   23,038x = 1,200,276,025
5. Step 5: Solve for x
   x = 1,200,276,025/23,038
6. Step 6: Final answer
   x = 52,099.84