Finding the Third Proportional to 34,630 and 74,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,630 : 74,557.50 = 74,557.50 : x
2. Step 2: Convert to fraction form
   34,630/74,557.50 = 74,557.50/x
3. Step 3: Cross multiply
   34,630x = 74,557.50 × 74,557.50
4. Step 4: Simplify right side
   34,630x = 5,558,820,806.25
5. Step 5: Solve for x
   x = 5,558,820,806.25/34,630
6. Step 6: Final answer
   x = 160,520.38