Finding the Third Proportional to 38,616 and 84,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,616 : 84,613.50 = 84,613.50 : x
2. Step 2: Convert to fraction form
   38,616/84,613.50 = 84,613.50/x
3. Step 3: Cross multiply
   38,616x = 84,613.50 × 84,613.50
4. Step 4: Simplify right side
   38,616x = 7,159,444,382.25
5. Step 5: Solve for x
   x = 7,159,444,382.25/38,616
6. Step 6: Final answer
   x = 185,400.98