Finding the Third Proportional to 42,769 and 61,607

Step by Step Solution

1. Step 1: Write the proportion equation
   42,769 : 61,607 = 61,607 : x
2. Step 2: Convert to fraction form
   42,769/61,607 = 61,607/x
3. Step 3: Cross multiply
   42,769x = 61,607 × 61,607
4. Step 4: Simplify right side
   42,769x = 3,795,422,449
5. Step 5: Solve for x
   x = 3,795,422,449/42,769
6. Step 6: Final answer
   x = 88,742.37