Finding the Third Proportional to 34,212.50 and 51,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,212.50 : 51,180.50 = 51,180.50 : x
2. Step 2: Convert to fraction form
   34,212.50/51,180.50 = 51,180.50/x
3. Step 3: Cross multiply
   34,212.50x = 51,180.50 × 51,180.50
4. Step 4: Simplify right side
   34,212.50x = 2,619,443,580.25
5. Step 5: Solve for x
   x = 2,619,443,580.25/34,212.50
6. Step 6: Final answer
   x = 76,563.93