Finding the Third Proportional to 17,777 and 25,938

Step by Step Solution

1. Step 1: Write the proportion equation
   17,777 : 25,938 = 25,938 : x
2. Step 2: Convert to fraction form
   17,777/25,938 = 25,938/x
3. Step 3: Cross multiply
   17,777x = 25,938 × 25,938
4. Step 4: Simplify right side
   17,777x = 672,779,844
5. Step 5: Solve for x
   x = 672,779,844/17,777
6. Step 6: Final answer
   x = 37,845.52