Finding the Third Proportional to 34,911 and 74,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,911 : 74,398.50 = 74,398.50 : x
2. Step 2: Convert to fraction form
   34,911/74,398.50 = 74,398.50/x
3. Step 3: Cross multiply
   34,911x = 74,398.50 × 74,398.50
4. Step 4: Simplify right side
   34,911x = 5,535,136,802.25
5. Step 5: Solve for x
   x = 5,535,136,802.25/34,911
6. Step 6: Final answer
   x = 158,549.94