Finding the Third Proportional to 42,795 and 91,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,795 : 91,138.50 = 91,138.50 : x
2. Step 2: Convert to fraction form
   42,795/91,138.50 = 91,138.50/x
3. Step 3: Cross multiply
   42,795x = 91,138.50 × 91,138.50
4. Step 4: Simplify right side
   42,795x = 8,306,226,182.25
5. Step 5: Solve for x
   x = 8,306,226,182.25/42,795
6. Step 6: Final answer
   x = 194,093.38