Finding the Third Proportional to 32,976 and 53,172

Step by Step Solution

1. Step 1: Write the proportion equation
   32,976 : 53,172 = 53,172 : x
2. Step 2: Convert to fraction form
   32,976/53,172 = 53,172/x
3. Step 3: Cross multiply
   32,976x = 53,172 × 53,172
4. Step 4: Simplify right side
   32,976x = 2,827,261,584
5. Step 5: Solve for x
   x = 2,827,261,584/32,976
6. Step 6: Final answer
   x = 85,736.95