Finding the Third Proportional to 34,533.75 and 75,313.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,533.75 : 75,313.50 = 75,313.50 : x
2. Step 2: Convert to fraction form
   34,533.75/75,313.50 = 75,313.50/x
3. Step 3: Cross multiply
   34,533.75x = 75,313.50 × 75,313.50
4. Step 4: Simplify right side
   34,533.75x = 5,672,123,282.25
5. Step 5: Solve for x
   x = 5,672,123,282.25/34,533.75
6. Step 6: Final answer
   x = 164,248.69