Finding the Third Proportional to 34,209 and 51,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,209 : 51,178.50 = 51,178.50 : x
2. Step 2: Convert to fraction form
   34,209/51,178.50 = 51,178.50/x
3. Step 3: Cross multiply
   34,209x = 51,178.50 × 51,178.50
4. Step 4: Simplify right side
   34,209x = 2,619,238,862.25
5. Step 5: Solve for x
   x = 2,619,238,862.25/34,209
6. Step 6: Final answer
   x = 76,565.78