Finding the Third Proportional to 30,159 and 34,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,159 : 34,156.50 = 34,156.50 : x
2. Step 2: Convert to fraction form
   30,159/34,156.50 = 34,156.50/x
3. Step 3: Cross multiply
   30,159x = 34,156.50 × 34,156.50
4. Step 4: Simplify right side
   30,159x = 1,166,666,492.25
5. Step 5: Solve for x
   x = 1,166,666,492.25/30,159
6. Step 6: Final answer
   x = 38,683.86