Finding the Third Proportional to 51,204 and 77,521.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,204 : 77,521.50 = 77,521.50 : x
2. Step 2: Convert to fraction form
   51,204/77,521.50 = 77,521.50/x
3. Step 3: Cross multiply
   51,204x = 77,521.50 × 77,521.50
4. Step 4: Simplify right side
   51,204x = 6,009,582,962.25
5. Step 5: Solve for x
   x = 6,009,582,962.25/51,204
6. Step 6: Final answer
   x = 117,365.50