Finding the Third Proportional to 25,692 and 37,534

Step by Step Solution

1. Step 1: Write the proportion equation
   25,692 : 37,534 = 37,534 : x
2. Step 2: Convert to fraction form
   25,692/37,534 = 37,534/x
3. Step 3: Cross multiply
   25,692x = 37,534 × 37,534
4. Step 4: Simplify right side
   25,692x = 1,408,801,156
5. Step 5: Solve for x
   x = 1,408,801,156/25,692
6. Step 6: Final answer
   x = 54,834.23