Finding the Third Proportional to 31,778 and 42,364

Step by Step Solution

1. Step 1: Write the proportion equation
   31,778 : 42,364 = 42,364 : x
2. Step 2: Convert to fraction form
   31,778/42,364 = 42,364/x
3. Step 3: Cross multiply
   31,778x = 42,364 × 42,364
4. Step 4: Simplify right side
   31,778x = 1,794,708,496
5. Step 5: Solve for x
   x = 1,794,708,496/31,778
6. Step 6: Final answer
   x = 56,476.45