Finding the Third Proportional to 10,077 and 21,652.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077 : 21,652.50 = 21,652.50 : x
2. Step 2: Convert to fraction form
   10,077/21,652.50 = 21,652.50/x
3. Step 3: Cross multiply
   10,077x = 21,652.50 × 21,652.50
4. Step 4: Simplify right side
   10,077x = 468,830,756.25
5. Step 5: Solve for x
   x = 468,830,756.25/10,077
6. Step 6: Final answer
   x = 46,524.83