Finding the Third Proportional to 32,526 and 71,004.38

Step by Step Solution

1. Step 1: Write the proportion equation
   32,526 : 71,004.38 = 71,004.38 : x
2. Step 2: Convert to fraction form
   32,526/71,004.38 = 71,004.38/x
3. Step 3: Cross multiply
   32,526x = 71,004.38 × 71,004.38
4. Step 4: Simplify right side
   32,526x = 5,041,621,269.14
5. Step 5: Solve for x
   x = 5,041,621,269.14/32,526
6. Step 6: Final answer
   x = 155,002.81