Finding the Third Proportional to 67,824 and 103,316

Step by Step Solution

1. Step 1: Write the proportion equation
   67,824 : 103,316 = 103,316 : x
2. Step 2: Convert to fraction form
   67,824/103,316 = 103,316/x
3. Step 3: Cross multiply
   67,824x = 103,316 × 103,316
4. Step 4: Simplify right side
   67,824x = 10,674,195,856
5. Step 5: Solve for x
   x = 10,674,195,856/67,824
6. Step 6: Final answer
   x = 157,380.81