Finding the Third Proportional to 45,882 and 69,458

Step by Step Solution

1. Step 1: Write the proportion equation
   45,882 : 69,458 = 69,458 : x
2. Step 2: Convert to fraction form
   45,882/69,458 = 69,458/x
3. Step 3: Cross multiply
   45,882x = 69,458 × 69,458
4. Step 4: Simplify right side
   45,882x = 4,824,413,764
5. Step 5: Solve for x
   x = 4,824,413,764/45,882
6. Step 6: Final answer
   x = 105,148.29