Finding the Third Proportional to 76,532 and 102,648

Step by Step Solution

1. Step 1: Write the proportion equation
   76,532 : 102,648 = 102,648 : x
2. Step 2: Convert to fraction form
   76,532/102,648 = 102,648/x
3. Step 3: Cross multiply
   76,532x = 102,648 × 102,648
4. Step 4: Simplify right side
   76,532x = 10,536,611,904
5. Step 5: Solve for x
   x = 10,536,611,904/76,532
6. Step 6: Final answer
   x = 137,675.90