Finding the Third Proportional to 30,632 and 41,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,632 : 41,572.50 = 41,572.50 : x
2. Step 2: Convert to fraction form
   30,632/41,572.50 = 41,572.50/x
3. Step 3: Cross multiply
   30,632x = 41,572.50 × 41,572.50
4. Step 4: Simplify right side
   30,632x = 1,728,272,756.25
5. Step 5: Solve for x
   x = 1,728,272,756.25/30,632
6. Step 6: Final answer
   x = 56,420.50