Finding the Third Proportional to 33,345 and 37,030.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,345 : 37,030.50 = 37,030.50 : x
2. Step 2: Convert to fraction form
   33,345/37,030.50 = 37,030.50/x
3. Step 3: Cross multiply
   33,345x = 37,030.50 × 37,030.50
4. Step 4: Simplify right side
   33,345x = 1,371,257,930.25
5. Step 5: Solve for x
   x = 1,371,257,930.25/33,345
6. Step 6: Final answer
   x = 41,123.34