Finding the Third Proportional to 34,752 and 74,928

Step by Step Solution

1. Step 1: Write the proportion equation
   34,752 : 74,928 = 74,928 : x
2. Step 2: Convert to fraction form
   34,752/74,928 = 74,928/x
3. Step 3: Cross multiply
   34,752x = 74,928 × 74,928
4. Step 4: Simplify right side
   34,752x = 5,614,205,184
5. Step 5: Solve for x
   x = 5,614,205,184/34,752
6. Step 6: Final answer
   x = 161,550.56