Finding the Third Proportional to 38,544 and 84,073.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,544 : 84,073.50 = 84,073.50 : x
2. Step 2: Convert to fraction form
   38,544/84,073.50 = 84,073.50/x
3. Step 3: Cross multiply
   38,544x = 84,073.50 × 84,073.50
4. Step 4: Simplify right side
   38,544x = 7,068,353,402.25
5. Step 5: Solve for x
   x = 7,068,353,402.25/38,544
6. Step 6: Final answer
   x = 183,384.01