Finding the Third Proportional to 34,894.50 and 75,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,894.50 : 75,013.50 = 75,013.50 : x
2. Step 2: Convert to fraction form
   34,894.50/75,013.50 = 75,013.50/x
3. Step 3: Cross multiply
   34,894.50x = 75,013.50 × 75,013.50
4. Step 4: Simplify right side
   34,894.50x = 5,627,025,182.25
5. Step 5: Solve for x
   x = 5,627,025,182.25/34,894.50
6. Step 6: Final answer
   x = 161,258.23