Finding the Third Proportional to 34,099.50 and 74,967

Step by Step Solution

1. Step 1: Write the proportion equation
   34,099.50 : 74,967 = 74,967 : x
2. Step 2: Convert to fraction form
   34,099.50/74,967 = 74,967/x
3. Step 3: Cross multiply
   34,099.50x = 74,967 × 74,967
4. Step 4: Simplify right side
   34,099.50x = 5,620,051,089
5. Step 5: Solve for x
   x = 5,620,051,089/34,099.50
6. Step 6: Final answer
   x = 164,813.30