Finding the Third Proportional to 31,378 and 69,074

Step by Step Solution

1. Step 1: Write the proportion equation
   31,378 : 69,074 = 69,074 : x
2. Step 2: Convert to fraction form
   31,378/69,074 = 69,074/x
3. Step 3: Cross multiply
   31,378x = 69,074 × 69,074
4. Step 4: Simplify right side
   31,378x = 4,771,217,476
5. Step 5: Solve for x
   x = 4,771,217,476/31,378
6. Step 6: Final answer
   x = 152,056.14