Finding the Third Proportional to 31,461 and 64,380

Step by Step Solution

1. Step 1: Write the proportion equation
   31,461 : 64,380 = 64,380 : x
2. Step 2: Convert to fraction form
   31,461/64,380 = 64,380/x
3. Step 3: Cross multiply
   31,461x = 64,380 × 64,380
4. Step 4: Simplify right side
   31,461x = 4,144,784,400
5. Step 5: Solve for x
   x = 4,144,784,400/31,461
6. Step 6: Final answer
   x = 131,743.57