Finding the Third Proportional to 31,786 and 69,410

Step by Step Solution

1. Step 1: Write the proportion equation
   31,786 : 69,410 = 69,410 : x
2. Step 2: Convert to fraction form
   31,786/69,410 = 69,410/x
3. Step 3: Cross multiply
   31,786x = 69,410 × 69,410
4. Step 4: Simplify right side
   31,786x = 4,817,748,100
5. Step 5: Solve for x
   x = 4,817,748,100/31,786
6. Step 6: Final answer
   x = 151,568.24