Finding the Third Proportional to 30,704 and 64,501

Step by Step Solution

1. Step 1: Write the proportion equation
   30,704 : 64,501 = 64,501 : x
2. Step 2: Convert to fraction form
   30,704/64,501 = 64,501/x
3. Step 3: Cross multiply
   30,704x = 64,501 × 64,501
4. Step 4: Simplify right side
   30,704x = 4,160,379,001
5. Step 5: Solve for x
   x = 4,160,379,001/30,704
6. Step 6: Final answer
   x = 135,499.58