Finding the Third Proportional to 34,691 and 49,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,691 : 49,572.50 = 49,572.50 : x
2. Step 2: Convert to fraction form
   34,691/49,572.50 = 49,572.50/x
3. Step 3: Cross multiply
   34,691x = 49,572.50 × 49,572.50
4. Step 4: Simplify right side
   34,691x = 2,457,432,756.25
5. Step 5: Solve for x
   x = 2,457,432,756.25/34,691
6. Step 6: Final answer
   x = 70,837.76