Finding the Third Proportional to 22,740 and 32,646

Step by Step Solution

1. Step 1: Write the proportion equation
   22,740 : 32,646 = 32,646 : x
2. Step 2: Convert to fraction form
   22,740/32,646 = 32,646/x
3. Step 3: Cross multiply
   22,740x = 32,646 × 32,646
4. Step 4: Simplify right side
   22,740x = 1,065,761,316
5. Step 5: Solve for x
   x = 1,065,761,316/22,740
6. Step 6: Final answer
   x = 46,867.25