Finding the Third Proportional to 23,004 and 32,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,004 : 32,557.50 = 32,557.50 : x
2. Step 2: Convert to fraction form
   23,004/32,557.50 = 32,557.50/x
3. Step 3: Cross multiply
   23,004x = 32,557.50 × 32,557.50
4. Step 4: Simplify right side
   23,004x = 1,059,990,806.25
5. Step 5: Solve for x
   x = 1,059,990,806.25/23,004
6. Step 6: Final answer
   x = 46,078.54