Finding the Third Proportional to 20,769 and 32,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,769 : 32,212.50 = 32,212.50 : x
2. Step 2: Convert to fraction form
   20,769/32,212.50 = 32,212.50/x
3. Step 3: Cross multiply
   20,769x = 32,212.50 × 32,212.50
4. Step 4: Simplify right side
   20,769x = 1,037,645,156.25
5. Step 5: Solve for x
   x = 1,037,645,156.25/20,769
6. Step 6: Final answer
   x = 49,961.25