Finding the Third Proportional to 42,191 and 61,620

Step by Step Solution

1. Step 1: Write the proportion equation
   42,191 : 61,620 = 61,620 : x
2. Step 2: Convert to fraction form
   42,191/61,620 = 61,620/x
3. Step 3: Cross multiply
   42,191x = 61,620 × 61,620
4. Step 4: Simplify right side
   42,191x = 3,797,024,400
5. Step 5: Solve for x
   x = 3,797,024,400/42,191
6. Step 6: Final answer
   x = 89,996.07