Finding the Third Proportional to 21,088 and 32,191

Step by Step Solution

1. Step 1: Write the proportion equation
   21,088 : 32,191 = 32,191 : x
2. Step 2: Convert to fraction form
   21,088/32,191 = 32,191/x
3. Step 3: Cross multiply
   21,088x = 32,191 × 32,191
4. Step 4: Simplify right side
   21,088x = 1,036,260,481
5. Step 5: Solve for x
   x = 1,036,260,481/21,088
6. Step 6: Final answer
   x = 49,139.82