Finding the Third Proportional to 33,664 and 51,196

Step by Step Solution

1. Step 1: Write the proportion equation
   33,664 : 51,196 = 51,196 : x
2. Step 2: Convert to fraction form
   33,664/51,196 = 51,196/x
3. Step 3: Cross multiply
   33,664x = 51,196 × 51,196
4. Step 4: Simplify right side
   33,664x = 2,621,030,416
5. Step 5: Solve for x
   x = 2,621,030,416/33,664
6. Step 6: Final answer
   x = 77,858.56