Finding the Third Proportional to 30,969 and 69,961.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,969 : 69,961.50 = 69,961.50 : x
2. Step 2: Convert to fraction form
   30,969/69,961.50 = 69,961.50/x
3. Step 3: Cross multiply
   30,969x = 69,961.50 × 69,961.50
4. Step 4: Simplify right side
   30,969x = 4,894,611,482.25
5. Step 5: Solve for x
   x = 4,894,611,482.25/30,969
6. Step 6: Final answer
   x = 158,048.74