Finding the Third Proportional to 34,748 and 75,040

Step by Step Solution

1. Step 1: Write the proportion equation
   34,748 : 75,040 = 75,040 : x
2. Step 2: Convert to fraction form
   34,748/75,040 = 75,040/x
3. Step 3: Cross multiply
   34,748x = 75,040 × 75,040
4. Step 4: Simplify right side
   34,748x = 5,631,001,600
5. Step 5: Solve for x
   x = 5,631,001,600/34,748
6. Step 6: Final answer
   x = 162,052.54