Finding the Third Proportional to 34,125 and 73,799.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,125 : 73,799.25 = 73,799.25 : x
2. Step 2: Convert to fraction form
   34,125/73,799.25 = 73,799.25/x
3. Step 3: Cross multiply
   34,125x = 73,799.25 × 73,799.25
4. Step 4: Simplify right side
   34,125x = 5,446,329,300.56
5. Step 5: Solve for x
   x = 5,446,329,300.56/34,125
6. Step 6: Final answer
   x = 159,599.39