Finding the Third Proportional to 23,782.50 and 33,972.75

Step by Step Solution

1. Step 1: Write the proportion equation
   23,782.50 : 33,972.75 = 33,972.75 : x
2. Step 2: Convert to fraction form
   23,782.50/33,972.75 = 33,972.75/x
3. Step 3: Cross multiply
   23,782.50x = 33,972.75 × 33,972.75
4. Step 4: Simplify right side
   23,782.50x = 1,154,147,742.56
5. Step 5: Solve for x
   x = 1,154,147,742.56/23,782.50
6. Step 6: Final answer
   x = 48,529.29