Finding the Third Proportional to 63,624 and 101,064

Step by Step Solution

1. Step 1: Write the proportion equation
   63,624 : 101,064 = 101,064 : x
2. Step 2: Convert to fraction form
   63,624/101,064 = 101,064/x
3. Step 3: Cross multiply
   63,624x = 101,064 × 101,064
4. Step 4: Simplify right side
   63,624x = 10,213,932,096
5. Step 5: Solve for x
   x = 10,213,932,096/63,624
6. Step 6: Final answer
   x = 160,535.84