Finding the Third Proportional to 34,692 and 75,625.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,692 : 75,625.50 = 75,625.50 : x
2. Step 2: Convert to fraction form
   34,692/75,625.50 = 75,625.50/x
3. Step 3: Cross multiply
   34,692x = 75,625.50 × 75,625.50
4. Step 4: Simplify right side
   34,692x = 5,719,216,250.25
5. Step 5: Solve for x
   x = 5,719,216,250.25/34,692
6. Step 6: Final answer
   x = 164,856.92