Finding the Third Proportional to 42,130 and 65,729

Step by Step Solution

1. Step 1: Write the proportion equation
   42,130 : 65,729 = 65,729 : x
2. Step 2: Convert to fraction form
   42,130/65,729 = 65,729/x
3. Step 3: Cross multiply
   42,130x = 65,729 × 65,729
4. Step 4: Simplify right side
   42,130x = 4,320,301,441
5. Step 5: Solve for x
   x = 4,320,301,441/42,130
6. Step 6: Final answer
   x = 102,546.91