Finding the Third Proportional to 34,178.63 and 74,594.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,178.63 : 74,594.25 = 74,594.25 : x
2. Step 2: Convert to fraction form
   34,178.63/74,594.25 = 74,594.25/x
3. Step 3: Cross multiply
   34,178.63x = 74,594.25 × 74,594.25
4. Step 4: Simplify right side
   34,178.63x = 5,564,302,133.06
5. Step 5: Solve for x
   x = 5,564,302,133.06/34,178.63
6. Step 6: Final answer
   x = 162,800.64