Finding the Third Proportional to 40,126 and 62,410

Step by Step Solution

1. Step 1: Write the proportion equation
   40,126 : 62,410 = 62,410 : x
2. Step 2: Convert to fraction form
   40,126/62,410 = 62,410/x
3. Step 3: Cross multiply
   40,126x = 62,410 × 62,410
4. Step 4: Simplify right side
   40,126x = 3,895,008,100
5. Step 5: Solve for x
   x = 3,895,008,100/40,126
6. Step 6: Final answer
   x = 97,069.43