Finding the Third Proportional to 34,038.94 and 74,797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,038.94 : 74,797.50 = 74,797.50 : x
2. Step 2: Convert to fraction form
   34,038.94/74,797.50 = 74,797.50/x
3. Step 3: Cross multiply
   34,038.94x = 74,797.50 × 74,797.50
4. Step 4: Simplify right side
   34,038.94x = 5,594,666,006.25
5. Step 5: Solve for x
   x = 5,594,666,006.25/34,038.94
6. Step 6: Final answer
   x = 164,360.77