Finding the Third Proportional to 23,005 and 32,559

Step by Step Solution

1. Step 1: Write the proportion equation
   23,005 : 32,559 = 32,559 : x
2. Step 2: Convert to fraction form
   23,005/32,559 = 32,559/x
3. Step 3: Cross multiply
   23,005x = 32,559 × 32,559
4. Step 4: Simplify right side
   23,005x = 1,060,088,481
5. Step 5: Solve for x
   x = 1,060,088,481/23,005
6. Step 6: Final answer
   x = 46,080.79