Finding the Third Proportional to 32,091 and 70,014

Step by Step Solution

1. Step 1: Write the proportion equation
   32,091 : 70,014 = 70,014 : x
2. Step 2: Convert to fraction form
   32,091/70,014 = 70,014/x
3. Step 3: Cross multiply
   32,091x = 70,014 × 70,014
4. Step 4: Simplify right side
   32,091x = 4,901,960,196
5. Step 5: Solve for x
   x = 4,901,960,196/32,091
6. Step 6: Final answer
   x = 152,751.87