Finding the Third Proportional to 32,589 and 49,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,589 : 49,126.50 = 49,126.50 : x
2. Step 2: Convert to fraction form
   32,589/49,126.50 = 49,126.50/x
3. Step 3: Cross multiply
   32,589x = 49,126.50 × 49,126.50
4. Step 4: Simplify right side
   32,589x = 2,413,413,002.25
5. Step 5: Solve for x
   x = 2,413,413,002.25/32,589
6. Step 6: Final answer
   x = 74,056.06