Finding the Third Proportional to 42,021.75 and 89,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,021.75 : 89,659.50 = 89,659.50 : x
2. Step 2: Convert to fraction form
   42,021.75/89,659.50 = 89,659.50/x
3. Step 3: Cross multiply
   42,021.75x = 89,659.50 × 89,659.50
4. Step 4: Simplify right side
   42,021.75x = 8,038,825,940.25
5. Step 5: Solve for x
   x = 8,038,825,940.25/42,021.75
6. Step 6: Final answer
   x = 191,301.55