Finding the Third Proportional to 34,690.50 and 75,801.38

Step by Step Solution

1. Step 1: Write the proportion equation
   34,690.50 : 75,801.38 = 75,801.38 : x
2. Step 2: Convert to fraction form
   34,690.50/75,801.38 = 75,801.38/x
3. Step 3: Cross multiply
   34,690.50x = 75,801.38 × 75,801.38
4. Step 4: Simplify right side
   34,690.50x = 5,745,848,451.89
5. Step 5: Solve for x
   x = 5,745,848,451.89/34,690.50
6. Step 6: Final answer
   x = 165,631.76