Finding the Third Proportional to 34,672.50 and 74,268

Step by Step Solution

1. Step 1: Write the proportion equation
   34,672.50 : 74,268 = 74,268 : x
2. Step 2: Convert to fraction form
   34,672.50/74,268 = 74,268/x
3. Step 3: Cross multiply
   34,672.50x = 74,268 × 74,268
4. Step 4: Simplify right side
   34,672.50x = 5,515,735,824
5. Step 5: Solve for x
   x = 5,515,735,824/34,672.50
6. Step 6: Final answer
   x = 159,081.00