Finding the Third Proportional to 33,038 and 47,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,038 : 47,096.50 = 47,096.50 : x
2. Step 2: Convert to fraction form
   33,038/47,096.50 = 47,096.50/x
3. Step 3: Cross multiply
   33,038x = 47,096.50 × 47,096.50
4. Step 4: Simplify right side
   33,038x = 2,218,080,312.25
5. Step 5: Solve for x
   x = 2,218,080,312.25/33,038
6. Step 6: Final answer
   x = 67,137.25