Finding the Third Proportional to 21,536 and 31,594

Step by Step Solution

1. Step 1: Write the proportion equation
   21,536 : 31,594 = 31,594 : x
2. Step 2: Convert to fraction form
   21,536/31,594 = 31,594/x
3. Step 3: Cross multiply
   21,536x = 31,594 × 31,594
4. Step 4: Simplify right side
   21,536x = 998,180,836
5. Step 5: Solve for x
   x = 998,180,836/21,536
6. Step 6: Final answer
   x = 46,349.41