Finding the Third Proportional to 32,004 and 37,488

Step by Step Solution

1. Step 1: Write the proportion equation
   32,004 : 37,488 = 37,488 : x
2. Step 2: Convert to fraction form
   32,004/37,488 = 37,488/x
3. Step 3: Cross multiply
   32,004x = 37,488 × 37,488
4. Step 4: Simplify right side
   32,004x = 1,405,350,144
5. Step 5: Solve for x
   x = 1,405,350,144/32,004
6. Step 6: Final answer
   x = 43,911.70