Finding the Third Proportional to 21,770 and 32,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,770 : 32,570.50 = 32,570.50 : x
2. Step 2: Convert to fraction form
   21,770/32,570.50 = 32,570.50/x
3. Step 3: Cross multiply
   21,770x = 32,570.50 × 32,570.50
4. Step 4: Simplify right side
   21,770x = 1,060,837,470.25
5. Step 5: Solve for x
   x = 1,060,837,470.25/21,770
6. Step 6: Final answer
   x = 48,729.33