Finding the Third Proportional to 34,284.75 and 74,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,284.75 : 74,977.50 = 74,977.50 : x
2. Step 2: Convert to fraction form
   34,284.75/74,977.50 = 74,977.50/x
3. Step 3: Cross multiply
   34,284.75x = 74,977.50 × 74,977.50
4. Step 4: Simplify right side
   34,284.75x = 5,621,625,506.25
5. Step 5: Solve for x
   x = 5,621,625,506.25/34,284.75
6. Step 6: Final answer
   x = 163,968.69