Finding the Third Proportional to 35,533 and 48,817.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,533 : 48,817.50 = 48,817.50 : x
2. Step 2: Convert to fraction form
   35,533/48,817.50 = 48,817.50/x
3. Step 3: Cross multiply
   35,533x = 48,817.50 × 48,817.50
4. Step 4: Simplify right side
   35,533x = 2,383,148,306.25
5. Step 5: Solve for x
   x = 2,383,148,306.25/35,533
6. Step 6: Final answer
   x = 67,068.59