Finding the Third Proportional to 34,602 and 51,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,602 : 51,722.50 = 51,722.50 : x
2. Step 2: Convert to fraction form
   34,602/51,722.50 = 51,722.50/x
3. Step 3: Cross multiply
   34,602x = 51,722.50 × 51,722.50
4. Step 4: Simplify right side
   34,602x = 2,675,217,006.25
5. Step 5: Solve for x
   x = 2,675,217,006.25/34,602
6. Step 6: Final answer
   x = 77,313.94