Finding the Third Proportional to 38,224 and 83,792

Step by Step Solution

1. Step 1: Write the proportion equation
   38,224 : 83,792 = 83,792 : x
2. Step 2: Convert to fraction form
   38,224/83,792 = 83,792/x
3. Step 3: Cross multiply
   38,224x = 83,792 × 83,792
4. Step 4: Simplify right side
   38,224x = 7,021,099,264
5. Step 5: Solve for x
   x = 7,021,099,264/38,224
6. Step 6: Final answer
   x = 183,683.01