Finding the Third Proportional to 34,773 and 75,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,773 : 75,089.50 = 75,089.50 : x
2. Step 2: Convert to fraction form
   34,773/75,089.50 = 75,089.50/x
3. Step 3: Cross multiply
   34,773x = 75,089.50 × 75,089.50
4. Step 4: Simplify right side
   34,773x = 5,638,433,010.25
5. Step 5: Solve for x
   x = 5,638,433,010.25/34,773
6. Step 6: Final answer
   x = 162,149.74