Finding the Third Proportional to 42,710 and 91,588

Step by Step Solution

1. Step 1: Write the proportion equation
   42,710 : 91,588 = 91,588 : x
2. Step 2: Convert to fraction form
   42,710/91,588 = 91,588/x
3. Step 3: Cross multiply
   42,710x = 91,588 × 91,588
4. Step 4: Simplify right side
   42,710x = 8,388,361,744
5. Step 5: Solve for x
   x = 8,388,361,744/42,710
6. Step 6: Final answer
   x = 196,402.76