Finding the Third Proportional to 42,012 and 89,586

Step by Step Solution

1. Step 1: Write the proportion equation
   42,012 : 89,586 = 89,586 : x
2. Step 2: Convert to fraction form
   42,012/89,586 = 89,586/x
3. Step 3: Cross multiply
   42,012x = 89,586 × 89,586
4. Step 4: Simplify right side
   42,012x = 8,025,651,396
5. Step 5: Solve for x
   x = 8,025,651,396/42,012
6. Step 6: Final answer
   x = 191,032.36