Finding the Third Proportional to 45,413 and 64,866.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,413 : 64,866.50 = 64,866.50 : x
2. Step 2: Convert to fraction form
   45,413/64,866.50 = 64,866.50/x
3. Step 3: Cross multiply
   45,413x = 64,866.50 × 64,866.50
4. Step 4: Simplify right side
   45,413x = 4,207,662,822.25
5. Step 5: Solve for x
   x = 4,207,662,822.25/45,413
6. Step 6: Final answer
   x = 92,653.27