Finding the Third Proportional to 23,006 and 32,560

Step by Step Solution

1. Step 1: Write the proportion equation
   23,006 : 32,560 = 32,560 : x
2. Step 2: Convert to fraction form
   23,006/32,560 = 32,560/x
3. Step 3: Cross multiply
   23,006x = 32,560 × 32,560
4. Step 4: Simplify right side
   23,006x = 1,060,153,600
5. Step 5: Solve for x
   x = 1,060,153,600/23,006
6. Step 6: Final answer
   x = 46,081.61