Finding the Third Proportional to 25,837.50 and 54,749.63

Step by Step Solution

1. Step 1: Write the proportion equation
   25,837.50 : 54,749.63 = 54,749.63 : x
2. Step 2: Convert to fraction form
   25,837.50/54,749.63 = 54,749.63/x
3. Step 3: Cross multiply
   25,837.50x = 54,749.63 × 54,749.63
4. Step 4: Simplify right side
   25,837.50x = 2,997,521,437.64
5. Step 5: Solve for x
   x = 2,997,521,437.64/25,837.50
6. Step 6: Final answer
   x = 116,014.38