Finding the Third Proportional to 24,478 and 53,620.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,478 : 53,620.25 = 53,620.25 : x
2. Step 2: Convert to fraction form
   24,478/53,620.25 = 53,620.25/x
3. Step 3: Cross multiply
   24,478x = 53,620.25 × 53,620.25
4. Step 4: Simplify right side
   24,478x = 2,875,131,210.06
5. Step 5: Solve for x
   x = 2,875,131,210.06/24,478
6. Step 6: Final answer
   x = 117,457.77