Finding the Third Proportional to 34,102.50 and 51,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,102.50 : 51,680.50 = 51,680.50 : x
2. Step 2: Convert to fraction form
   34,102.50/51,680.50 = 51,680.50/x
3. Step 3: Cross multiply
   34,102.50x = 51,680.50 × 51,680.50
4. Step 4: Simplify right side
   34,102.50x = 2,670,874,080.25
5. Step 5: Solve for x
   x = 2,670,874,080.25/34,102.50
6. Step 6: Final answer
   x = 78,319.01