Finding the Third Proportional to 34,804 and 74,168

Step by Step Solution

1. Step 1: Write the proportion equation
   34,804 : 74,168 = 74,168 : x
2. Step 2: Convert to fraction form
   34,804/74,168 = 74,168/x
3. Step 3: Cross multiply
   34,804x = 74,168 × 74,168
4. Step 4: Simplify right side
   34,804x = 5,500,892,224
5. Step 5: Solve for x
   x = 5,500,892,224/34,804
6. Step 6: Final answer
   x = 158,053.45