Finding the Third Proportional to 21,168 and 32,970.38

Step by Step Solution

1. Step 1: Write the proportion equation
   21,168 : 32,970.38 = 32,970.38 : x
2. Step 2: Convert to fraction form
   21,168/32,970.38 = 32,970.38/x
3. Step 3: Cross multiply
   21,168x = 32,970.38 × 32,970.38
4. Step 4: Simplify right side
   21,168x = 1,087,045,627.64
5. Step 5: Solve for x
   x = 1,087,045,627.64/21,168
6. Step 6: Final answer
   x = 51,353.25