Finding the Third Proportional to 13,581 and 32,007

Step by Step Solution

1. Step 1: Write the proportion equation
   13,581 : 32,007 = 32,007 : x
2. Step 2: Convert to fraction form
   13,581/32,007 = 32,007/x
3. Step 3: Cross multiply
   13,581x = 32,007 × 32,007
4. Step 4: Simplify right side
   13,581x = 1,024,448,049
5. Step 5: Solve for x
   x = 1,024,448,049/13,581
6. Step 6: Final answer
   x = 75,432.45