Finding the Third Proportional to 38,224 and 81,679.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,224 : 81,679.50 = 81,679.50 : x
2. Step 2: Convert to fraction form
   38,224/81,679.50 = 81,679.50/x
3. Step 3: Cross multiply
   38,224x = 81,679.50 × 81,679.50
4. Step 4: Simplify right side
   38,224x = 6,671,540,720.25
5. Step 5: Solve for x
   x = 6,671,540,720.25/38,224
6. Step 6: Final answer
   x = 174,538.01