Finding the Third Proportional to 22,544 and 32,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,544 : 32,472.50 = 32,472.50 : x
2. Step 2: Convert to fraction form
   22,544/32,472.50 = 32,472.50/x
3. Step 3: Cross multiply
   22,544x = 32,472.50 × 32,472.50
4. Step 4: Simplify right side
   22,544x = 1,054,463,256.25
5. Step 5: Solve for x
   x = 1,054,463,256.25/22,544
6. Step 6: Final answer
   x = 46,773.57