Finding the Third Proportional to 34,688.25 and 75,618.56

Step by Step Solution

1. Step 1: Write the proportion equation
   34,688.25 : 75,618.56 = 75,618.56 : x
2. Step 2: Convert to fraction form
   34,688.25/75,618.56 = 75,618.56/x
3. Step 3: Cross multiply
   34,688.25x = 75,618.56 × 75,618.56
4. Step 4: Simplify right side
   34,688.25x = 5,718,166,994.57
5. Step 5: Solve for x
   x = 5,718,166,994.57/34,688.25
6. Step 6: Final answer
   x = 164,844.49