Finding the Third Proportional to 34,384 and 53,208

Step by Step Solution

1. Step 1: Write the proportion equation
   34,384 : 53,208 = 53,208 : x
2. Step 2: Convert to fraction form
   34,384/53,208 = 53,208/x
3. Step 3: Cross multiply
   34,384x = 53,208 × 53,208
4. Step 4: Simplify right side
   34,384x = 2,831,091,264
5. Step 5: Solve for x
   x = 2,831,091,264/34,384
6. Step 6: Final answer
   x = 82,337.46