Finding the Third Proportional to 31,851 and 69,342

Step by Step Solution

1. Step 1: Write the proportion equation
   31,851 : 69,342 = 69,342 : x
2. Step 2: Convert to fraction form
   31,851/69,342 = 69,342/x
3. Step 3: Cross multiply
   31,851x = 69,342 × 69,342
4. Step 4: Simplify right side
   31,851x = 4,808,312,964
5. Step 5: Solve for x
   x = 4,808,312,964/31,851
6. Step 6: Final answer
   x = 150,962.70