Finding the Third Proportional to 34,575 and 52,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,575 : 52,180.50 = 52,180.50 : x
2. Step 2: Convert to fraction form
   34,575/52,180.50 = 52,180.50/x
3. Step 3: Cross multiply
   34,575x = 52,180.50 × 52,180.50
4. Step 4: Simplify right side
   34,575x = 2,722,804,580.25
5. Step 5: Solve for x
   x = 2,722,804,580.25/34,575
6. Step 6: Final answer
   x = 78,750.67