Finding the Third Proportional to 34,605 and 75,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,605 : 75,670.50 = 75,670.50 : x
2. Step 2: Convert to fraction form
   34,605/75,670.50 = 75,670.50/x
3. Step 3: Cross multiply
   34,605x = 75,670.50 × 75,670.50
4. Step 4: Simplify right side
   34,605x = 5,726,024,570.25
5. Step 5: Solve for x
   x = 5,726,024,570.25/34,605
6. Step 6: Final answer
   x = 165,468.13