Finding the Third Proportional to 34,708.50 and 51,914.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,708.50 : 51,914.25 = 51,914.25 : x
2. Step 2: Convert to fraction form
   34,708.50/51,914.25 = 51,914.25/x
3. Step 3: Cross multiply
   34,708.50x = 51,914.25 × 51,914.25
4. Step 4: Simplify right side
   34,708.50x = 2,695,089,353.06
5. Step 5: Solve for x
   x = 2,695,089,353.06/34,708.50
6. Step 6: Final answer
   x = 77,649.26