Finding the Third Proportional to 33,500 and 53,208

Step by Step Solution

1. Step 1: Write the proportion equation
   33,500 : 53,208 = 53,208 : x
2. Step 2: Convert to fraction form
   33,500/53,208 = 53,208/x
3. Step 3: Cross multiply
   33,500x = 53,208 × 53,208
4. Step 4: Simplify right side
   33,500x = 2,831,091,264
5. Step 5: Solve for x
   x = 2,831,091,264/33,500
6. Step 6: Final answer
   x = 84,510.19