Finding the Third Proportional to 42,584 and 91,432

Step by Step Solution

1. Step 1: Write the proportion equation
   42,584 : 91,432 = 91,432 : x
2. Step 2: Convert to fraction form
   42,584/91,432 = 91,432/x
3. Step 3: Cross multiply
   42,584x = 91,432 × 91,432
4. Step 4: Simplify right side
   42,584x = 8,359,810,624
5. Step 5: Solve for x
   x = 8,359,810,624/42,584
6. Step 6: Final answer
   x = 196,313.42