Finding the Third Proportional to 33,897 and 70,152

Step by Step Solution

1. Step 1: Write the proportion equation
   33,897 : 70,152 = 70,152 : x
2. Step 2: Convert to fraction form
   33,897/70,152 = 70,152/x
3. Step 3: Cross multiply
   33,897x = 70,152 × 70,152
4. Step 4: Simplify right side
   33,897x = 4,921,303,104
5. Step 5: Solve for x
   x = 4,921,303,104/33,897
6. Step 6: Final answer
   x = 145,184.03