Finding the Third Proportional to 25,191 and 37,758

Step by Step Solution

1. Step 1: Write the proportion equation
   25,191 : 37,758 = 37,758 : x
2. Step 2: Convert to fraction form
   25,191/37,758 = 37,758/x
3. Step 3: Cross multiply
   25,191x = 37,758 × 37,758
4. Step 4: Simplify right side
   25,191x = 1,425,666,564
5. Step 5: Solve for x
   x = 1,425,666,564/25,191
6. Step 6: Final answer
   x = 56,594.28