Finding the Third Proportional to 34,839 and 53,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,839 : 53,077.50 = 53,077.50 : x
2. Step 2: Convert to fraction form
   34,839/53,077.50 = 53,077.50/x
3. Step 3: Cross multiply
   34,839x = 53,077.50 × 53,077.50
4. Step 4: Simplify right side
   34,839x = 2,817,221,006.25
5. Step 5: Solve for x
   x = 2,817,221,006.25/34,839
6. Step 6: Final answer
   x = 80,864.00