Finding the Third Proportional to 31,548 and 69,657

Step by Step Solution

1. Step 1: Write the proportion equation
   31,548 : 69,657 = 69,657 : x
2. Step 2: Convert to fraction form
   31,548/69,657 = 69,657/x
3. Step 3: Cross multiply
   31,548x = 69,657 × 69,657
4. Step 4: Simplify right side
   31,548x = 4,852,097,649
5. Step 5: Solve for x
   x = 4,852,097,649/31,548
6. Step 6: Final answer
   x = 153,800.48