Finding the Third Proportional to 16,191 and 21,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,191 : 21,874.50 = 21,874.50 : x
2. Step 2: Convert to fraction form
   16,191/21,874.50 = 21,874.50/x
3. Step 3: Cross multiply
   16,191x = 21,874.50 × 21,874.50
4. Step 4: Simplify right side
   16,191x = 478,493,750.25
5. Step 5: Solve for x
   x = 478,493,750.25/16,191
6. Step 6: Final answer
   x = 29,553.07