Finding the Third Proportional to 32,537 and 70,002

Step by Step Solution

1. Step 1: Write the proportion equation
   32,537 : 70,002 = 70,002 : x
2. Step 2: Convert to fraction form
   32,537/70,002 = 70,002/x
3. Step 3: Cross multiply
   32,537x = 70,002 × 70,002
4. Step 4: Simplify right side
   32,537x = 4,900,280,004
5. Step 5: Solve for x
   x = 4,900,280,004/32,537
6. Step 6: Final answer
   x = 150,606.39