Finding the Third Proportional to 34,696 and 74,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,696 : 74,311.50 = 74,311.50 : x
2. Step 2: Convert to fraction form
   34,696/74,311.50 = 74,311.50/x
3. Step 3: Cross multiply
   34,696x = 74,311.50 × 74,311.50
4. Step 4: Simplify right side
   34,696x = 5,522,199,032.25
5. Step 5: Solve for x
   x = 5,522,199,032.25/34,696
6. Step 6: Final answer
   x = 159,159.53