Finding the Third Proportional to 33,534 and 69,194.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,534 : 69,194.25 = 69,194.25 : x
2. Step 2: Convert to fraction form
   33,534/69,194.25 = 69,194.25/x
3. Step 3: Cross multiply
   33,534x = 69,194.25 × 69,194.25
4. Step 4: Simplify right side
   33,534x = 4,787,844,233.06
5. Step 5: Solve for x
   x = 4,787,844,233.06/33,534
6. Step 6: Final answer
   x = 142,775.82