Finding the Third Proportional to 21,174 and 32,505

Step by Step Solution

1. Step 1: Write the proportion equation
   21,174 : 32,505 = 32,505 : x
2. Step 2: Convert to fraction form
   21,174/32,505 = 32,505/x
3. Step 3: Cross multiply
   21,174x = 32,505 × 32,505
4. Step 4: Simplify right side
   21,174x = 1,056,575,025
5. Step 5: Solve for x
   x = 1,056,575,025/21,174
6. Step 6: Final answer
   x = 49,899.64