Finding the Third Proportional to 34,834.50 and 83,070

Step by Step Solution

1. Step 1: Write the proportion equation
   34,834.50 : 83,070 = 83,070 : x
2. Step 2: Convert to fraction form
   34,834.50/83,070 = 83,070/x
3. Step 3: Cross multiply
   34,834.50x = 83,070 × 83,070
4. Step 4: Simplify right side
   34,834.50x = 6,900,624,900
5. Step 5: Solve for x
   x = 6,900,624,900/34,834.50
6. Step 6: Final answer
   x = 198,097.43