Finding the Third Proportional to 34,609.75 and 51,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,609.75 : 51,914.50 = 51,914.50 : x
2. Step 2: Convert to fraction form
   34,609.75/51,914.50 = 51,914.50/x
3. Step 3: Cross multiply
   34,609.75x = 51,914.50 × 51,914.50
4. Step 4: Simplify right side
   34,609.75x = 2,695,115,310.25
5. Step 5: Solve for x
   x = 2,695,115,310.25/34,609.75
6. Step 6: Final answer
   x = 77,871.56