Finding the Third Proportional to 42,100 and 89,032

Step by Step Solution

1. Step 1: Write the proportion equation
   42,100 : 89,032 = 89,032 : x
2. Step 2: Convert to fraction form
   42,100/89,032 = 89,032/x
3. Step 3: Cross multiply
   42,100x = 89,032 × 89,032
4. Step 4: Simplify right side
   42,100x = 7,926,697,024
5. Step 5: Solve for x
   x = 7,926,697,024/42,100
6. Step 6: Final answer
   x = 188,282.59