Finding the Third Proportional to 37,224 and 78,096

Step by Step Solution

1. Step 1: Write the proportion equation
   37,224 : 78,096 = 78,096 : x
2. Step 2: Convert to fraction form
   37,224/78,096 = 78,096/x
3. Step 3: Cross multiply
   37,224x = 78,096 × 78,096
4. Step 4: Simplify right side
   37,224x = 6,098,985,216
5. Step 5: Solve for x
   x = 6,098,985,216/37,224
6. Step 6: Final answer
   x = 163,845.51