Finding the Third Proportional to 30,766.50 and 67,091

Step by Step Solution

1. Step 1: Write the proportion equation
   30,766.50 : 67,091 = 67,091 : x
2. Step 2: Convert to fraction form
   30,766.50/67,091 = 67,091/x
3. Step 3: Cross multiply
   30,766.50x = 67,091 × 67,091
4. Step 4: Simplify right side
   30,766.50x = 4,501,202,281
5. Step 5: Solve for x
   x = 4,501,202,281/30,766.50
6. Step 6: Final answer
   x = 146,302.06