Finding the Third Proportional to 24,833.25 and 37,577.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,833.25 : 37,577.25 = 37,577.25 : x
2. Step 2: Convert to fraction form
   24,833.25/37,577.25 = 37,577.25/x
3. Step 3: Cross multiply
   24,833.25x = 37,577.25 × 37,577.25
4. Step 4: Simplify right side
   24,833.25x = 1,412,049,717.56
5. Step 5: Solve for x
   x = 1,412,049,717.56/24,833.25
6. Step 6: Final answer
   x = 56,861.25