Finding the Third Proportional to 34,561.50 and 75,819

Step by Step Solution

1. Step 1: Write the proportion equation
   34,561.50 : 75,819 = 75,819 : x
2. Step 2: Convert to fraction form
   34,561.50/75,819 = 75,819/x
3. Step 3: Cross multiply
   34,561.50x = 75,819 × 75,819
4. Step 4: Simplify right side
   34,561.50x = 5,748,520,761
5. Step 5: Solve for x
   x = 5,748,520,761/34,561.50
6. Step 6: Final answer
   x = 166,327.29