Finding the Third Proportional to 24,514 and 53,076

Step by Step Solution

1. Step 1: Write the proportion equation
   24,514 : 53,076 = 53,076 : x
2. Step 2: Convert to fraction form
   24,514/53,076 = 53,076/x
3. Step 3: Cross multiply
   24,514x = 53,076 × 53,076
4. Step 4: Simplify right side
   24,514x = 2,817,061,776
5. Step 5: Solve for x
   x = 2,817,061,776/24,514
6. Step 6: Final answer
   x = 114,916.45