Finding the Third Proportional to 33,617 and 70,627

Step by Step Solution

1. Step 1: Write the proportion equation
   33,617 : 70,627 = 70,627 : x
2. Step 2: Convert to fraction form
   33,617/70,627 = 70,627/x
3. Step 3: Cross multiply
   33,617x = 70,627 × 70,627
4. Step 4: Simplify right side
   33,617x = 4,988,173,129
5. Step 5: Solve for x
   x = 4,988,173,129/33,617
6. Step 6: Final answer
   x = 148,382.46