Finding the Third Proportional to 34,816.50 and 52,302

Step by Step Solution

1. Step 1: Write the proportion equation
   34,816.50 : 52,302 = 52,302 : x
2. Step 2: Convert to fraction form
   34,816.50/52,302 = 52,302/x
3. Step 3: Cross multiply
   34,816.50x = 52,302 × 52,302
4. Step 4: Simplify right side
   34,816.50x = 2,735,499,204
5. Step 5: Solve for x
   x = 2,735,499,204/34,816.50
6. Step 6: Final answer
   x = 78,569.05