Finding the Third Proportional to 34,687.50 and 76,194

Step by Step Solution

1. Step 1: Write the proportion equation
   34,687.50 : 76,194 = 76,194 : x
2. Step 2: Convert to fraction form
   34,687.50/76,194 = 76,194/x
3. Step 3: Cross multiply
   34,687.50x = 76,194 × 76,194
4. Step 4: Simplify right side
   34,687.50x = 5,805,525,636
5. Step 5: Solve for x
   x = 5,805,525,636/34,687.50
6. Step 6: Final answer
   x = 167,366.50