Finding the Third Proportional to 32,500 and 70,012

Step by Step Solution

1. Step 1: Write the proportion equation
   32,500 : 70,012 = 70,012 : x
2. Step 2: Convert to fraction form
   32,500/70,012 = 70,012/x
3. Step 3: Cross multiply
   32,500x = 70,012 × 70,012
4. Step 4: Simplify right side
   32,500x = 4,901,680,144
5. Step 5: Solve for x
   x = 4,901,680,144/32,500
6. Step 6: Final answer
   x = 150,820.93