Finding the Third Proportional to 31,308 and 69,614

Step by Step Solution

1. Step 1: Write the proportion equation
   31,308 : 69,614 = 69,614 : x
2. Step 2: Convert to fraction form
   31,308/69,614 = 69,614/x
3. Step 3: Cross multiply
   31,308x = 69,614 × 69,614
4. Step 4: Simplify right side
   31,308x = 4,846,108,996
5. Step 5: Solve for x
   x = 4,846,108,996/31,308
6. Step 6: Final answer
   x = 154,788.20