Finding the Third Proportional to 33,793.88 and 69,638.06

Step by Step Solution

1. Step 1: Write the proportion equation
   33,793.88 : 69,638.06 = 69,638.06 : x
2. Step 2: Convert to fraction form
   33,793.88/69,638.06 = 69,638.06/x
3. Step 3: Cross multiply
   33,793.88x = 69,638.06 × 69,638.06
4. Step 4: Simplify right side
   33,793.88x = 4,849,459,748.75
5. Step 5: Solve for x
   x = 4,849,459,748.75/33,793.88
6. Step 6: Final answer
   x = 143,501.14