Finding the Third Proportional to 29,624 and 64,162

Step by Step Solution

1. Step 1: Write the proportion equation
   29,624 : 64,162 = 64,162 : x
2. Step 2: Convert to fraction form
   29,624/64,162 = 64,162/x
3. Step 3: Cross multiply
   29,624x = 64,162 × 64,162
4. Step 4: Simplify right side
   29,624x = 4,116,762,244
5. Step 5: Solve for x
   x = 4,116,762,244/29,624
6. Step 6: Final answer
   x = 138,967.13