Finding the Third Proportional to 20,526 and 42,780

Step by Step Solution

1. Step 1: Write the proportion equation
   20,526 : 42,780 = 42,780 : x
2. Step 2: Convert to fraction form
   20,526/42,780 = 42,780/x
3. Step 3: Cross multiply
   20,526x = 42,780 × 42,780
4. Step 4: Simplify right side
   20,526x = 1,830,128,400
5. Step 5: Solve for x
   x = 1,830,128,400/20,526
6. Step 6: Final answer
   x = 89,161.47