Finding the Third Proportional to 32,636 and 69,541

Step by Step Solution

1. Step 1: Write the proportion equation
   32,636 : 69,541 = 69,541 : x
2. Step 2: Convert to fraction form
   32,636/69,541 = 69,541/x
3. Step 3: Cross multiply
   32,636x = 69,541 × 69,541
4. Step 4: Simplify right side
   32,636x = 4,835,950,681
5. Step 5: Solve for x
   x = 4,835,950,681/32,636
6. Step 6: Final answer
   x = 148,178.41