Finding the Third Proportional to 38,734.50 and 83,989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,734.50 : 83,989.50 = 83,989.50 : x
2. Step 2: Convert to fraction form
   38,734.50/83,989.50 = 83,989.50/x
3. Step 3: Cross multiply
   38,734.50x = 83,989.50 × 83,989.50
4. Step 4: Simplify right side
   38,734.50x = 7,054,236,110.25
5. Step 5: Solve for x
   x = 7,054,236,110.25/38,734.50
6. Step 6: Final answer
   x = 182,117.65