Finding the Third Proportional to 32,490 and 69,814

Step by Step Solution

1. Step 1: Write the proportion equation
   32,490 : 69,814 = 69,814 : x
2. Step 2: Convert to fraction form
   32,490/69,814 = 69,814/x
3. Step 3: Cross multiply
   32,490x = 69,814 × 69,814
4. Step 4: Simplify right side
   32,490x = 4,873,994,596
5. Step 5: Solve for x
   x = 4,873,994,596/32,490
6. Step 6: Final answer
   x = 150,015.22