Finding the Third Proportional to 45,892.50 and 101,625

Step by Step Solution

1. Step 1: Write the proportion equation
   45,892.50 : 101,625 = 101,625 : x
2. Step 2: Convert to fraction form
   45,892.50/101,625 = 101,625/x
3. Step 3: Cross multiply
   45,892.50x = 101,625 × 101,625
4. Step 4: Simplify right side
   45,892.50x = 10,327,640,625
5. Step 5: Solve for x
   x = 10,327,640,625/45,892.50
6. Step 6: Final answer
   x = 225,039.83