Finding the Third Proportional to 16,141 and 21,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,141 : 21,648.50 = 21,648.50 : x
2. Step 2: Convert to fraction form
   16,141/21,648.50 = 21,648.50/x
3. Step 3: Cross multiply
   16,141x = 21,648.50 × 21,648.50
4. Step 4: Simplify right side
   16,141x = 468,657,552.25
5. Step 5: Solve for x
   x = 468,657,552.25/16,141
6. Step 6: Final answer
   x = 29,035.22