Finding the Third Proportional to 24,567 and 38,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,567 : 38,128.50 = 38,128.50 : x
2. Step 2: Convert to fraction form
   24,567/38,128.50 = 38,128.50/x
3. Step 3: Cross multiply
   24,567x = 38,128.50 × 38,128.50
4. Step 4: Simplify right side
   24,567x = 1,453,782,512.25
5. Step 5: Solve for x
   x = 1,453,782,512.25/24,567
6. Step 6: Final answer
   x = 59,176.23