Finding the Third Proportional to 34,787 and 74,488

Step by Step Solution

1. Step 1: Write the proportion equation
   34,787 : 74,488 = 74,488 : x
2. Step 2: Convert to fraction form
   34,787/74,488 = 74,488/x
3. Step 3: Cross multiply
   34,787x = 74,488 × 74,488
4. Step 4: Simplify right side
   34,787x = 5,548,462,144
5. Step 5: Solve for x
   x = 5,548,462,144/34,787
6. Step 6: Final answer
   x = 159,498.15