Finding the Third Proportional to 33,698 and 72,985

Step by Step Solution

1. Step 1: Write the proportion equation
   33,698 : 72,985 = 72,985 : x
2. Step 2: Convert to fraction form
   33,698/72,985 = 72,985/x
3. Step 3: Cross multiply
   33,698x = 72,985 × 72,985
4. Step 4: Simplify right side
   33,698x = 5,326,810,225
5. Step 5: Solve for x
   x = 5,326,810,225/33,698
6. Step 6: Final answer
   x = 158,074.97