Finding the Third Proportional to 33,594 and 69,951

Step by Step Solution

1. Step 1: Write the proportion equation
   33,594 : 69,951 = 69,951 : x
2. Step 2: Convert to fraction form
   33,594/69,951 = 69,951/x
3. Step 3: Cross multiply
   33,594x = 69,951 × 69,951
4. Step 4: Simplify right side
   33,594x = 4,893,142,401
5. Step 5: Solve for x
   x = 4,893,142,401/33,594
6. Step 6: Final answer
   x = 145,655.25