Finding the Third Proportional to 33,079.50 and 78,024.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,079.50 : 78,024.75 = 78,024.75 : x
2. Step 2: Convert to fraction form
   33,079.50/78,024.75 = 78,024.75/x
3. Step 3: Cross multiply
   33,079.50x = 78,024.75 × 78,024.75
4. Step 4: Simplify right side
   33,079.50x = 6,087,861,612.56
5. Step 5: Solve for x
   x = 6,087,861,612.56/33,079.50
6. Step 6: Final answer
   x = 184,037.29