Finding the Third Proportional to 34,188 and 51,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,188 : 51,738.50 = 51,738.50 : x
2. Step 2: Convert to fraction form
   34,188/51,738.50 = 51,738.50/x
3. Step 3: Cross multiply
   34,188x = 51,738.50 × 51,738.50
4. Step 4: Simplify right side
   34,188x = 2,676,872,382.25
5. Step 5: Solve for x
   x = 2,676,872,382.25/34,188
6. Step 6: Final answer
   x = 78,298.60