Finding the Third Proportional to 34,999 and 76,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,999 : 76,802.50 = 76,802.50 : x
2. Step 2: Convert to fraction form
   34,999/76,802.50 = 76,802.50/x
3. Step 3: Cross multiply
   34,999x = 76,802.50 × 76,802.50
4. Step 4: Simplify right side
   34,999x = 5,898,624,006.25
5. Step 5: Solve for x
   x = 5,898,624,006.25/34,999
6. Step 6: Final answer
   x = 168,536.93