Finding the Third Proportional to 21,099 and 31,635

Step by Step Solution

1. Step 1: Write the proportion equation
   21,099 : 31,635 = 31,635 : x
2. Step 2: Convert to fraction form
   21,099/31,635 = 31,635/x
3. Step 3: Cross multiply
   21,099x = 31,635 × 31,635
4. Step 4: Simplify right side
   21,099x = 1,000,773,225
5. Step 5: Solve for x
   x = 1,000,773,225/21,099
6. Step 6: Final answer
   x = 47,432.26