Finding the Third Proportional to 32,680 and 70,706

Step by Step Solution

1. Step 1: Write the proportion equation
   32,680 : 70,706 = 70,706 : x
2. Step 2: Convert to fraction form
   32,680/70,706 = 70,706/x
3. Step 3: Cross multiply
   32,680x = 70,706 × 70,706
4. Step 4: Simplify right side
   32,680x = 4,999,338,436
5. Step 5: Solve for x
   x = 4,999,338,436/32,680
6. Step 6: Final answer
   x = 152,978.53