Finding the Third Proportional to 33,512.91 and 69,782.34

Step by Step Solution

1. Step 1: Write the proportion equation
   33,512.91 : 69,782.34 = 69,782.34 : x
2. Step 2: Convert to fraction form
   33,512.91/69,782.34 = 69,782.34/x
3. Step 3: Cross multiply
   33,512.91x = 69,782.34 × 69,782.34
4. Step 4: Simplify right side
   33,512.91x = 4,869,575,499.24
5. Step 5: Solve for x
   x = 4,869,575,499.24/33,512.91
6. Step 6: Final answer
   x = 145,304.48