Finding the Third Proportional to 24,804 and 53,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,804 : 53,977.50 = 53,977.50 : x
2. Step 2: Convert to fraction form
   24,804/53,977.50 = 53,977.50/x
3. Step 3: Cross multiply
   24,804x = 53,977.50 × 53,977.50
4. Step 4: Simplify right side
   24,804x = 2,913,570,506.25
5. Step 5: Solve for x
   x = 2,913,570,506.25/24,804
6. Step 6: Final answer
   x = 117,463.74