Finding the Third Proportional to 30,766 and 67,090

Step by Step Solution

1. Step 1: Write the proportion equation
   30,766 : 67,090 = 67,090 : x
2. Step 2: Convert to fraction form
   30,766/67,090 = 67,090/x
3. Step 3: Cross multiply
   30,766x = 67,090 × 67,090
4. Step 4: Simplify right side
   30,766x = 4,501,068,100
5. Step 5: Solve for x
   x = 4,501,068,100/30,766
6. Step 6: Final answer
   x = 146,300.07