Finding the Third Proportional to 34,386 and 53,211

Step by Step Solution

1. Step 1: Write the proportion equation
   34,386 : 53,211 = 53,211 : x
2. Step 2: Convert to fraction form
   34,386/53,211 = 53,211/x
3. Step 3: Cross multiply
   34,386x = 53,211 × 53,211
4. Step 4: Simplify right side
   34,386x = 2,831,410,521
5. Step 5: Solve for x
   x = 2,831,410,521/34,386
6. Step 6: Final answer
   x = 82,341.96