Finding the Third Proportional to 33,736.50 and 51,624

Step by Step Solution

1. Step 1: Write the proportion equation
   33,736.50 : 51,624 = 51,624 : x
2. Step 2: Convert to fraction form
   33,736.50/51,624 = 51,624/x
3. Step 3: Cross multiply
   33,736.50x = 51,624 × 51,624
4. Step 4: Simplify right side
   33,736.50x = 2,665,037,376
5. Step 5: Solve for x
   x = 2,665,037,376/33,736.50
6. Step 6: Final answer
   x = 78,995.67