Finding the Third Proportional to 47,895 and 75,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,895 : 75,799.50 = 75,799.50 : x
2. Step 2: Convert to fraction form
   47,895/75,799.50 = 75,799.50/x
3. Step 3: Cross multiply
   47,895x = 75,799.50 × 75,799.50
4. Step 4: Simplify right side
   47,895x = 5,745,564,200.25
5. Step 5: Solve for x
   x = 5,745,564,200.25/47,895
6. Step 6: Final answer
   x = 119,961.67