Finding the Third Proportional to 23,584 and 32,034

Step by Step Solution

1. Step 1: Write the proportion equation
   23,584 : 32,034 = 32,034 : x
2. Step 2: Convert to fraction form
   23,584/32,034 = 32,034/x
3. Step 3: Cross multiply
   23,584x = 32,034 × 32,034
4. Step 4: Simplify right side
   23,584x = 1,026,177,156
5. Step 5: Solve for x
   x = 1,026,177,156/23,584
6. Step 6: Final answer
   x = 43,511.58