Finding the Third Proportional to 34,785 and 52,339.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,785 : 52,339.50 = 52,339.50 : x
2. Step 2: Convert to fraction form
   34,785/52,339.50 = 52,339.50/x
3. Step 3: Cross multiply
   34,785x = 52,339.50 × 52,339.50
4. Step 4: Simplify right side
   34,785x = 2,739,423,260.25
5. Step 5: Solve for x
   x = 2,739,423,260.25/34,785
6. Step 6: Final answer
   x = 78,753.00