Finding the Third Proportional to 30,724 and 65,047

Step by Step Solution

1. Step 1: Write the proportion equation
   30,724 : 65,047 = 65,047 : x
2. Step 2: Convert to fraction form
   30,724/65,047 = 65,047/x
3. Step 3: Cross multiply
   30,724x = 65,047 × 65,047
4. Step 4: Simplify right side
   30,724x = 4,231,112,209
5. Step 5: Solve for x
   x = 4,231,112,209/30,724
6. Step 6: Final answer
   x = 137,713.59