Finding the Third Proportional to 32,096 and 77,319

Step by Step Solution

1. Step 1: Write the proportion equation
   32,096 : 77,319 = 77,319 : x
2. Step 2: Convert to fraction form
   32,096/77,319 = 77,319/x
3. Step 3: Cross multiply
   32,096x = 77,319 × 77,319
4. Step 4: Simplify right side
   32,096x = 5,978,227,761
5. Step 5: Solve for x
   x = 5,978,227,761/32,096
6. Step 6: Final answer
   x = 186,260.84