Finding the Third Proportional to 38,226 and 81,373.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,226 : 81,373.50 = 81,373.50 : x
2. Step 2: Convert to fraction form
   38,226/81,373.50 = 81,373.50/x
3. Step 3: Cross multiply
   38,226x = 81,373.50 × 81,373.50
4. Step 4: Simplify right side
   38,226x = 6,621,646,502.25
5. Step 5: Solve for x
   x = 6,621,646,502.25/38,226
6. Step 6: Final answer
   x = 173,223.63