Finding the Third Proportional to 34,039.50 and 74,798.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,039.50 : 74,798.25 = 74,798.25 : x
2. Step 2: Convert to fraction form
   34,039.50/74,798.25 = 74,798.25/x
3. Step 3: Cross multiply
   34,039.50x = 74,798.25 × 74,798.25
4. Step 4: Simplify right side
   34,039.50x = 5,594,778,203.06
5. Step 5: Solve for x
   x = 5,594,778,203.06/34,039.50
6. Step 6: Final answer
   x = 164,361.35