Finding the Third Proportional to 49,634 and 69,429

Step by Step Solution

1. Step 1: Write the proportion equation
   49,634 : 69,429 = 69,429 : x
2. Step 2: Convert to fraction form
   49,634/69,429 = 69,429/x
3. Step 3: Cross multiply
   49,634x = 69,429 × 69,429
4. Step 4: Simplify right side
   49,634x = 4,820,386,041
5. Step 5: Solve for x
   x = 4,820,386,041/49,634
6. Step 6: Final answer
   x = 97,118.63