Finding the Third Proportional to 24,624 and 59,364

Step by Step Solution

1. Step 1: Write the proportion equation
   24,624 : 59,364 = 59,364 : x
2. Step 2: Convert to fraction form
   24,624/59,364 = 59,364/x
3. Step 3: Cross multiply
   24,624x = 59,364 × 59,364
4. Step 4: Simplify right side
   24,624x = 3,524,084,496
5. Step 5: Solve for x
   x = 3,524,084,496/24,624
6. Step 6: Final answer
   x = 143,115.84