Finding the Third Proportional to 21,616 and 32,011

Step by Step Solution

1. Step 1: Write the proportion equation
   21,616 : 32,011 = 32,011 : x
2. Step 2: Convert to fraction form
   21,616/32,011 = 32,011/x
3. Step 3: Cross multiply
   21,616x = 32,011 × 32,011
4. Step 4: Simplify right side
   21,616x = 1,024,704,121
5. Step 5: Solve for x
   x = 1,024,704,121/21,616
6. Step 6: Final answer
   x = 47,404.89