Finding the Third Proportional to 32,200 and 42,444

Step by Step Solution

1. Step 1: Write the proportion equation
   32,200 : 42,444 = 42,444 : x
2. Step 2: Convert to fraction form
   32,200/42,444 = 42,444/x
3. Step 3: Cross multiply
   32,200x = 42,444 × 42,444
4. Step 4: Simplify right side
   32,200x = 1,801,493,136
5. Step 5: Solve for x
   x = 1,801,493,136/32,200
6. Step 6: Final answer
   x = 55,946.99