Finding the Third Proportional to 51,705 and 82,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,705 : 82,956.50 = 82,956.50 : x
2. Step 2: Convert to fraction form
   51,705/82,956.50 = 82,956.50/x
3. Step 3: Cross multiply
   51,705x = 82,956.50 × 82,956.50
4. Step 4: Simplify right side
   51,705x = 6,881,780,892.25
5. Step 5: Solve for x
   x = 6,881,780,892.25/51,705
6. Step 6: Final answer
   x = 133,097.01