Finding the Third Proportional to 72,022.50 and 109,027.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,022.50 : 109,027.50 = 109,027.50 : x
2. Step 2: Convert to fraction form
   72,022.50/109,027.50 = 109,027.50/x
3. Step 3: Cross multiply
   72,022.50x = 109,027.50 × 109,027.50
4. Step 4: Simplify right side
   72,022.50x = 11,886,995,756.25
5. Step 5: Solve for x
   x = 11,886,995,756.25/72,022.50
6. Step 6: Final answer
   x = 165,045.59