Finding the Third Proportional to 32,112 and 77,360

Step by Step Solution

1. Step 1: Write the proportion equation
   32,112 : 77,360 = 77,360 : x
2. Step 2: Convert to fraction form
   32,112/77,360 = 77,360/x
3. Step 3: Cross multiply
   32,112x = 77,360 × 77,360
4. Step 4: Simplify right side
   32,112x = 5,984,569,600
5. Step 5: Solve for x
   x = 5,984,569,600/32,112
6. Step 6: Final answer
   x = 186,365.52