Finding the Third Proportional to 53,803 and 82,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,803 : 82,972.50 = 82,972.50 : x
2. Step 2: Convert to fraction form
   53,803/82,972.50 = 82,972.50/x
3. Step 3: Cross multiply
   53,803x = 82,972.50 × 82,972.50
4. Step 4: Simplify right side
   53,803x = 6,884,435,756.25
5. Step 5: Solve for x
   x = 6,884,435,756.25/53,803
6. Step 6: Final answer
   x = 127,956.35