Finding the Third Proportional to 35,829 and 78,030

Step by Step Solution

1. Step 1: Write the proportion equation
   35,829 : 78,030 = 78,030 : x
2. Step 2: Convert to fraction form
   35,829/78,030 = 78,030/x
3. Step 3: Cross multiply
   35,829x = 78,030 × 78,030
4. Step 4: Simplify right side
   35,829x = 6,088,680,900
5. Step 5: Solve for x
   x = 6,088,680,900/35,829
6. Step 6: Final answer
   x = 169,937.23