Finding the Third Proportional to 42,570 and 91,251

Step by Step Solution

1. Step 1: Write the proportion equation
   42,570 : 91,251 = 91,251 : x
2. Step 2: Convert to fraction form
   42,570/91,251 = 91,251/x
3. Step 3: Cross multiply
   42,570x = 91,251 × 91,251
4. Step 4: Simplify right side
   42,570x = 8,326,745,001
5. Step 5: Solve for x
   x = 8,326,745,001/42,570
6. Step 6: Final answer
   x = 195,601.25