Finding the Third Proportional to 33,994 and 48,961.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,994 : 48,961.50 = 48,961.50 : x
2. Step 2: Convert to fraction form
   33,994/48,961.50 = 48,961.50/x
3. Step 3: Cross multiply
   33,994x = 48,961.50 × 48,961.50
4. Step 4: Simplify right side
   33,994x = 2,397,228,482.25
5. Step 5: Solve for x
   x = 2,397,228,482.25/33,994
6. Step 6: Final answer
   x = 70,519.16