Finding the Third Proportional to 34,512 and 52,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,512 : 52,039.50 = 52,039.50 : x
2. Step 2: Convert to fraction form
   34,512/52,039.50 = 52,039.50/x
3. Step 3: Cross multiply
   34,512x = 52,039.50 × 52,039.50
4. Step 4: Simplify right side
   34,512x = 2,708,109,560.25
5. Step 5: Solve for x
   x = 2,708,109,560.25/34,512
6. Step 6: Final answer
   x = 78,468.64