Finding the Third Proportional to 34,489 and 52,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,489 : 52,736.50 = 52,736.50 : x
2. Step 2: Convert to fraction form
   34,489/52,736.50 = 52,736.50/x
3. Step 3: Cross multiply
   34,489x = 52,736.50 × 52,736.50
4. Step 4: Simplify right side
   34,489x = 2,781,138,432.25
5. Step 5: Solve for x
   x = 2,781,138,432.25/34,489
6. Step 6: Final answer
   x = 80,638.42