Finding the Third Proportional to 38,330.50 and 84,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,330.50 : 84,222.50 = 84,222.50 : x
2. Step 2: Convert to fraction form
   38,330.50/84,222.50 = 84,222.50/x
3. Step 3: Cross multiply
   38,330.50x = 84,222.50 × 84,222.50
4. Step 4: Simplify right side
   38,330.50x = 7,093,429,506.25
5. Step 5: Solve for x
   x = 7,093,429,506.25/38,330.50
6. Step 6: Final answer
   x = 185,059.67