Finding the Third Proportional to 34,200 and 74,672

Step by Step Solution

1. Step 1: Write the proportion equation
   34,200 : 74,672 = 74,672 : x
2. Step 2: Convert to fraction form
   34,200/74,672 = 74,672/x
3. Step 3: Cross multiply
   34,200x = 74,672 × 74,672
4. Step 4: Simplify right side
   34,200x = 5,575,907,584
5. Step 5: Solve for x
   x = 5,575,907,584/34,200
6. Step 6: Final answer
   x = 163,038.23