Finding the Third Proportional to 42,735 and 91,301

Step by Step Solution

1. Step 1: Write the proportion equation
   42,735 : 91,301 = 91,301 : x
2. Step 2: Convert to fraction form
   42,735/91,301 = 91,301/x
3. Step 3: Cross multiply
   42,735x = 91,301 × 91,301
4. Step 4: Simplify right side
   42,735x = 8,335,872,601
5. Step 5: Solve for x
   x = 8,335,872,601/42,735
6. Step 6: Final answer
   x = 195,059.61