Finding the Third Proportional to 24,570 and 53,064

Step by Step Solution

1. Step 1: Write the proportion equation
   24,570 : 53,064 = 53,064 : x
2. Step 2: Convert to fraction form
   24,570/53,064 = 53,064/x
3. Step 3: Cross multiply
   24,570x = 53,064 × 53,064
4. Step 4: Simplify right side
   24,570x = 2,815,788,096
5. Step 5: Solve for x
   x = 2,815,788,096/24,570
6. Step 6: Final answer
   x = 114,602.69