Finding the Third Proportional to 25,253 and 37,723

Step by Step Solution

1. Step 1: Write the proportion equation
   25,253 : 37,723 = 37,723 : x
2. Step 2: Convert to fraction form
   25,253/37,723 = 37,723/x
3. Step 3: Cross multiply
   25,253x = 37,723 × 37,723
4. Step 4: Simplify right side
   25,253x = 1,423,024,729
5. Step 5: Solve for x
   x = 1,423,024,729/25,253
6. Step 6: Final answer
   x = 56,350.72