Finding the Third Proportional to 25,213.50 and 37,577.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,213.50 : 37,577.25 = 37,577.25 : x
2. Step 2: Convert to fraction form
   25,213.50/37,577.25 = 37,577.25/x
3. Step 3: Cross multiply
   25,213.50x = 37,577.25 × 37,577.25
4. Step 4: Simplify right side
   25,213.50x = 1,412,049,717.56
5. Step 5: Solve for x
   x = 1,412,049,717.56/25,213.50
6. Step 6: Final answer
   x = 56,003.72