Finding the Third Proportional to 23,516 and 31,902

Step by Step Solution

1. Step 1: Write the proportion equation
   23,516 : 31,902 = 31,902 : x
2. Step 2: Convert to fraction form
   23,516/31,902 = 31,902/x
3. Step 3: Cross multiply
   23,516x = 31,902 × 31,902
4. Step 4: Simplify right side
   23,516x = 1,017,737,604
5. Step 5: Solve for x
   x = 1,017,737,604/23,516
6. Step 6: Final answer
   x = 43,278.52