Finding the Third Proportional to 64,938.38 and 97,596.56

Step by Step Solution

1. Step 1: Write the proportion equation
   64,938.38 : 97,596.56 = 97,596.56 : x
2. Step 2: Convert to fraction form
   64,938.38/97,596.56 = 97,596.56/x
3. Step 3: Cross multiply
   64,938.38x = 97,596.56 × 97,596.56
4. Step 4: Simplify right side
   64,938.38x = 9,525,089,011.82
5. Step 5: Solve for x
   x = 9,525,089,011.82/64,938.38
6. Step 6: Final answer
   x = 146,678.89