Finding the Third Proportional to 34,287 and 74,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,287 : 74,809.50 = 74,809.50 : x
2. Step 2: Convert to fraction form
   34,287/74,809.50 = 74,809.50/x
3. Step 3: Cross multiply
   34,287x = 74,809.50 × 74,809.50
4. Step 4: Simplify right side
   34,287x = 5,596,461,290.25
5. Step 5: Solve for x
   x = 5,596,461,290.25/34,287
6. Step 6: Final answer
   x = 163,224.00