Finding the Third Proportional to 38,864 and 83,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,864 : 83,674.50 = 83,674.50 : x
2. Step 2: Convert to fraction form
   38,864/83,674.50 = 83,674.50/x
3. Step 3: Cross multiply
   38,864x = 83,674.50 × 83,674.50
4. Step 4: Simplify right side
   38,864x = 7,001,421,950.25
5. Step 5: Solve for x
   x = 7,001,421,950.25/38,864
6. Step 6: Final answer
   x = 180,151.86