Finding the Third Proportional to 42,926 and 66,410

Step by Step Solution

1. Step 1: Write the proportion equation
   42,926 : 66,410 = 66,410 : x
2. Step 2: Convert to fraction form
   42,926/66,410 = 66,410/x
3. Step 3: Cross multiply
   42,926x = 66,410 × 66,410
4. Step 4: Simplify right side
   42,926x = 4,410,288,100
5. Step 5: Solve for x
   x = 4,410,288,100/42,926
6. Step 6: Final answer
   x = 102,741.65