Finding the Third Proportional to 25,922.50 and 37,911.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,922.50 : 37,911.75 = 37,911.75 : x
2. Step 2: Convert to fraction form
   25,922.50/37,911.75 = 37,911.75/x
3. Step 3: Cross multiply
   25,922.50x = 37,911.75 × 37,911.75
4. Step 4: Simplify right side
   25,922.50x = 1,437,300,788.06
5. Step 5: Solve for x
   x = 1,437,300,788.06/25,922.50
6. Step 6: Final answer
   x = 55,446.07