Finding the Third Proportional to 63,624 and 100,729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   63,624 : 100,729.50 = 100,729.50 : x
2. Step 2: Convert to fraction form
   63,624/100,729.50 = 100,729.50/x
3. Step 3: Cross multiply
   63,624x = 100,729.50 × 100,729.50
4. Step 4: Simplify right side
   63,624x = 10,146,432,170.25
5. Step 5: Solve for x
   x = 10,146,432,170.25/63,624
6. Step 6: Final answer
   x = 159,474.92