Finding the Third Proportional to 38,367 and 84,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,367 : 84,145.50 = 84,145.50 : x
2. Step 2: Convert to fraction form
   38,367/84,145.50 = 84,145.50/x
3. Step 3: Cross multiply
   38,367x = 84,145.50 × 84,145.50
4. Step 4: Simplify right side
   38,367x = 7,080,465,170.25
5. Step 5: Solve for x
   x = 7,080,465,170.25/38,367
6. Step 6: Final answer
   x = 184,545.71