Finding the Third Proportional to 33,466 and 69,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,466 : 69,706.50 = 69,706.50 : x
2. Step 2: Convert to fraction form
   33,466/69,706.50 = 69,706.50/x
3. Step 3: Cross multiply
   33,466x = 69,706.50 × 69,706.50
4. Step 4: Simplify right side
   33,466x = 4,858,996,142.25
5. Step 5: Solve for x
   x = 4,858,996,142.25/33,466
6. Step 6: Final answer
   x = 145,192.02