Finding the Third Proportional to 42,315 and 91,002

Step by Step Solution

1. Step 1: Write the proportion equation
   42,315 : 91,002 = 91,002 : x
2. Step 2: Convert to fraction form
   42,315/91,002 = 91,002/x
3. Step 3: Cross multiply
   42,315x = 91,002 × 91,002
4. Step 4: Simplify right side
   42,315x = 8,281,364,004
5. Step 5: Solve for x
   x = 8,281,364,004/42,315
6. Step 6: Final answer
   x = 195,707.53