Finding the Third Proportional to 42,345 and 76,670

Step by Step Solution

1. Step 1: Write the proportion equation
   42,345 : 76,670 = 76,670 : x
2. Step 2: Convert to fraction form
   42,345/76,670 = 76,670/x
3. Step 3: Cross multiply
   42,345x = 76,670 × 76,670
4. Step 4: Simplify right side
   42,345x = 5,878,288,900
5. Step 5: Solve for x
   x = 5,878,288,900/42,345
6. Step 6: Final answer
   x = 138,818.96