Finding the Third Proportional to 32,978 and 53,175

Step by Step Solution

1. Step 1: Write the proportion equation
   32,978 : 53,175 = 53,175 : x
2. Step 2: Convert to fraction form
   32,978/53,175 = 53,175/x
3. Step 3: Cross multiply
   32,978x = 53,175 × 53,175
4. Step 4: Simplify right side
   32,978x = 2,827,580,625
5. Step 5: Solve for x
   x = 2,827,580,625/32,978
6. Step 6: Final answer
   x = 85,741.42