Finding the Third Proportional to 34,938 and 75,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,938 : 75,424.50 = 75,424.50 : x
2. Step 2: Convert to fraction form
   34,938/75,424.50 = 75,424.50/x
3. Step 3: Cross multiply
   34,938x = 75,424.50 × 75,424.50
4. Step 4: Simplify right side
   34,938x = 5,688,855,200.25
5. Step 5: Solve for x
   x = 5,688,855,200.25/34,938
6. Step 6: Final answer
   x = 162,827.16