Finding the Third Proportional to 40,412 and 64,172

Step by Step Solution

1. Step 1: Write the proportion equation
   40,412 : 64,172 = 64,172 : x
2. Step 2: Convert to fraction form
   40,412/64,172 = 64,172/x
3. Step 3: Cross multiply
   40,412x = 64,172 × 64,172
4. Step 4: Simplify right side
   40,412x = 4,118,045,584
5. Step 5: Solve for x
   x = 4,118,045,584/40,412
6. Step 6: Final answer
   x = 101,901.55