Finding the Third Proportional to 34,855 and 74,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,855 : 74,769.50 = 74,769.50 : x
2. Step 2: Convert to fraction form
   34,855/74,769.50 = 74,769.50/x
3. Step 3: Cross multiply
   34,855x = 74,769.50 × 74,769.50
4. Step 4: Simplify right side
   34,855x = 5,590,478,130.25
5. Step 5: Solve for x
   x = 5,590,478,130.25/34,855
6. Step 6: Final answer
   x = 160,392.43