Finding the Third Proportional to 31,476 and 64,410

Step by Step Solution

1. Step 1: Write the proportion equation
   31,476 : 64,410 = 64,410 : x
2. Step 2: Convert to fraction form
   31,476/64,410 = 64,410/x
3. Step 3: Cross multiply
   31,476x = 64,410 × 64,410
4. Step 4: Simplify right side
   31,476x = 4,148,648,100
5. Step 5: Solve for x
   x = 4,148,648,100/31,476
6. Step 6: Final answer
   x = 131,803.54