Finding the Third Proportional to 34,782.50 and 52,181.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,782.50 : 52,181.50 = 52,181.50 : x
2. Step 2: Convert to fraction form
   34,782.50/52,181.50 = 52,181.50/x
3. Step 3: Cross multiply
   34,782.50x = 52,181.50 × 52,181.50
4. Step 4: Simplify right side
   34,782.50x = 2,722,908,942.25
5. Step 5: Solve for x
   x = 2,722,908,942.25/34,782.50
6. Step 6: Final answer
   x = 78,283.88