Finding the Third Proportional to 53,964 and 81,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,964 : 81,697.50 = 81,697.50 : x
2. Step 2: Convert to fraction form
   53,964/81,697.50 = 81,697.50/x
3. Step 3: Cross multiply
   53,964x = 81,697.50 × 81,697.50
4. Step 4: Simplify right side
   53,964x = 6,674,481,506.25
5. Step 5: Solve for x
   x = 6,674,481,506.25/53,964
6. Step 6: Final answer
   x = 123,683.97