Finding the Third Proportional to 34,688 and 52,276

Step by Step Solution

1. Step 1: Write the proportion equation
   34,688 : 52,276 = 52,276 : x
2. Step 2: Convert to fraction form
   34,688/52,276 = 52,276/x
3. Step 3: Cross multiply
   34,688x = 52,276 × 52,276
4. Step 4: Simplify right side
   34,688x = 2,732,780,176
5. Step 5: Solve for x
   x = 2,732,780,176/34,688
6. Step 6: Final answer
   x = 78,781.72