Finding the Third Proportional to 33,748 and 51,030

Step by Step Solution

1. Step 1: Write the proportion equation
   33,748 : 51,030 = 51,030 : x
2. Step 2: Convert to fraction form
   33,748/51,030 = 51,030/x
3. Step 3: Cross multiply
   33,748x = 51,030 × 51,030
4. Step 4: Simplify right side
   33,748x = 2,604,060,900
5. Step 5: Solve for x
   x = 2,604,060,900/33,748
6. Step 6: Final answer
   x = 77,161.93