Finding the Third Proportional to 34,584 and 52,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,584 : 52,189.50 = 52,189.50 : x
2. Step 2: Convert to fraction form
   34,584/52,189.50 = 52,189.50/x
3. Step 3: Cross multiply
   34,584x = 52,189.50 × 52,189.50
4. Step 4: Simplify right side
   34,584x = 2,723,743,910.25
5. Step 5: Solve for x
   x = 2,723,743,910.25/34,584
6. Step 6: Final answer
   x = 78,757.34