Finding the Third Proportional to 34,346 and 72,904

Step by Step Solution

1. Step 1: Write the proportion equation
   34,346 : 72,904 = 72,904 : x
2. Step 2: Convert to fraction form
   34,346/72,904 = 72,904/x
3. Step 3: Cross multiply
   34,346x = 72,904 × 72,904
4. Step 4: Simplify right side
   34,346x = 5,314,993,216
5. Step 5: Solve for x
   x = 5,314,993,216/34,346
6. Step 6: Final answer
   x = 154,748.54