Finding the Third Proportional to 34,005 and 74,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,005 : 74,056.50 = 74,056.50 : x
2. Step 2: Convert to fraction form
   34,005/74,056.50 = 74,056.50/x
3. Step 3: Cross multiply
   34,005x = 74,056.50 × 74,056.50
4. Step 4: Simplify right side
   34,005x = 5,484,365,192.25
5. Step 5: Solve for x
   x = 5,484,365,192.25/34,005
6. Step 6: Final answer
   x = 161,281.14