Finding the Third Proportional to 30,710 and 64,516

Step by Step Solution

1. Step 1: Write the proportion equation
   30,710 : 64,516 = 64,516 : x
2. Step 2: Convert to fraction form
   30,710/64,516 = 64,516/x
3. Step 3: Cross multiply
   30,710x = 64,516 × 64,516
4. Step 4: Simplify right side
   30,710x = 4,162,314,256
5. Step 5: Solve for x
   x = 4,162,314,256/30,710
6. Step 6: Final answer
   x = 135,536.12