Finding the Third Proportional to 38,677.50 and 82,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,677.50 : 82,093.50 = 82,093.50 : x
2. Step 2: Convert to fraction form
   38,677.50/82,093.50 = 82,093.50/x
3. Step 3: Cross multiply
   38,677.50x = 82,093.50 × 82,093.50
4. Step 4: Simplify right side
   38,677.50x = 6,739,342,742.25
5. Step 5: Solve for x
   x = 6,739,342,742.25/38,677.50
6. Step 6: Final answer
   x = 174,244.53