Finding the Third Proportional to 35,758.50 and 78,658

Step by Step Solution

1. Step 1: Write the proportion equation
   35,758.50 : 78,658 = 78,658 : x
2. Step 2: Convert to fraction form
   35,758.50/78,658 = 78,658/x
3. Step 3: Cross multiply
   35,758.50x = 78,658 × 78,658
4. Step 4: Simplify right side
   35,758.50x = 6,187,080,964
5. Step 5: Solve for x
   x = 6,187,080,964/35,758.50
6. Step 6: Final answer
   x = 173,024.06