Finding the Third Proportional to 34,998.75 and 76,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,998.75 : 76,801.50 = 76,801.50 : x
2. Step 2: Convert to fraction form
   34,998.75/76,801.50 = 76,801.50/x
3. Step 3: Cross multiply
   34,998.75x = 76,801.50 × 76,801.50
4. Step 4: Simplify right side
   34,998.75x = 5,898,470,402.25
5. Step 5: Solve for x
   x = 5,898,470,402.25/34,998.75
6. Step 6: Final answer
   x = 168,533.74