Finding the Third Proportional to 33,164 and 69,532

Step by Step Solution

1. Step 1: Write the proportion equation
   33,164 : 69,532 = 69,532 : x
2. Step 2: Convert to fraction form
   33,164/69,532 = 69,532/x
3. Step 3: Cross multiply
   33,164x = 69,532 × 69,532
4. Step 4: Simplify right side
   33,164x = 4,834,699,024
5. Step 5: Solve for x
   x = 4,834,699,024/33,164
6. Step 6: Final answer
   x = 145,781.54