Finding the Third Proportional to 34,768.50 and 75,080.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,768.50 : 75,080.25 = 75,080.25 : x
2. Step 2: Convert to fraction form
   34,768.50/75,080.25 = 75,080.25/x
3. Step 3: Cross multiply
   34,768.50x = 75,080.25 × 75,080.25
4. Step 4: Simplify right side
   34,768.50x = 5,637,043,940.06
5. Step 5: Solve for x
   x = 5,637,043,940.06/34,768.50
6. Step 6: Final answer
   x = 162,130.78