Finding the Third Proportional to 34,346 and 75,260

Step by Step Solution

1. Step 1: Write the proportion equation
   34,346 : 75,260 = 75,260 : x
2. Step 2: Convert to fraction form
   34,346/75,260 = 75,260/x
3. Step 3: Cross multiply
   34,346x = 75,260 × 75,260
4. Step 4: Simplify right side
   34,346x = 5,664,067,600
5. Step 5: Solve for x
   x = 5,664,067,600/34,346
6. Step 6: Final answer
   x = 164,912.00