Finding the Third Proportional to 24,144 and 52,428

Step by Step Solution

1. Step 1: Write the proportion equation
   24,144 : 52,428 = 52,428 : x
2. Step 2: Convert to fraction form
   24,144/52,428 = 52,428/x
3. Step 3: Cross multiply
   24,144x = 52,428 × 52,428
4. Step 4: Simplify right side
   24,144x = 2,748,695,184
5. Step 5: Solve for x
   x = 2,748,695,184/24,144
6. Step 6: Final answer
   x = 113,845.89