Finding the Third Proportional to 34,884 and 75,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,884 : 75,559.50 = 75,559.50 : x
2. Step 2: Convert to fraction form
   34,884/75,559.50 = 75,559.50/x
3. Step 3: Cross multiply
   34,884x = 75,559.50 × 75,559.50
4. Step 4: Simplify right side
   34,884x = 5,709,238,040.25
5. Step 5: Solve for x
   x = 5,709,238,040.25/34,884
6. Step 6: Final answer
   x = 163,663.51