Finding the Third Proportional to 30,870 and 64,160

Step by Step Solution

1. Step 1: Write the proportion equation
   30,870 : 64,160 = 64,160 : x
2. Step 2: Convert to fraction form
   30,870/64,160 = 64,160/x
3. Step 3: Cross multiply
   30,870x = 64,160 × 64,160
4. Step 4: Simplify right side
   30,870x = 4,116,505,600
5. Step 5: Solve for x
   x = 4,116,505,600/30,870
6. Step 6: Final answer
   x = 133,349.71