Finding the Third Proportional to 29,978.50 and 64,110.75

Step by Step Solution

1. Step 1: Write the proportion equation
   29,978.50 : 64,110.75 = 64,110.75 : x
2. Step 2: Convert to fraction form
   29,978.50/64,110.75 = 64,110.75/x
3. Step 3: Cross multiply
   29,978.50x = 64,110.75 × 64,110.75
4. Step 4: Simplify right side
   29,978.50x = 4,110,188,265.56
5. Step 5: Solve for x
   x = 4,110,188,265.56/29,978.50
6. Step 6: Final answer
   x = 137,104.53