Finding the Third Proportional to 32,506 and 69,944

Step by Step Solution

1. Step 1: Write the proportion equation
   32,506 : 69,944 = 69,944 : x
2. Step 2: Convert to fraction form
   32,506/69,944 = 69,944/x
3. Step 3: Cross multiply
   32,506x = 69,944 × 69,944
4. Step 4: Simplify right side
   32,506x = 4,892,163,136
5. Step 5: Solve for x
   x = 4,892,163,136/32,506
6. Step 6: Final answer
   x = 150,500.31