Finding the Third Proportional to 34,610.50 and 75,773

Step by Step Solution

1. Step 1: Write the proportion equation
   34,610.50 : 75,773 = 75,773 : x
2. Step 2: Convert to fraction form
   34,610.50/75,773 = 75,773/x
3. Step 3: Cross multiply
   34,610.50x = 75,773 × 75,773
4. Step 4: Simplify right side
   34,610.50x = 5,741,547,529
5. Step 5: Solve for x
   x = 5,741,547,529/34,610.50
6. Step 6: Final answer
   x = 165,890.34