Finding the Third Proportional to 38,938 and 76,840

Step by Step Solution

1. Step 1: Write the proportion equation
   38,938 : 76,840 = 76,840 : x
2. Step 2: Convert to fraction form
   38,938/76,840 = 76,840/x
3. Step 3: Cross multiply
   38,938x = 76,840 × 76,840
4. Step 4: Simplify right side
   38,938x = 5,904,385,600
5. Step 5: Solve for x
   x = 5,904,385,600/38,938
6. Step 6: Final answer
   x = 151,635.56