Finding the Third Proportional to 32,526 and 71,002

Step by Step Solution

1. Step 1: Write the proportion equation
   32,526 : 71,002 = 71,002 : x
2. Step 2: Convert to fraction form
   32,526/71,002 = 71,002/x
3. Step 3: Cross multiply
   32,526x = 71,002 × 71,002
4. Step 4: Simplify right side
   32,526x = 5,041,284,004
5. Step 5: Solve for x
   x = 5,041,284,004/32,526
6. Step 6: Final answer
   x = 154,992.44