Finding the Third Proportional to 45,688.50 and 68,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,688.50 : 68,533.50 = 68,533.50 : x
2. Step 2: Convert to fraction form
   45,688.50/68,533.50 = 68,533.50/x
3. Step 3: Cross multiply
   45,688.50x = 68,533.50 × 68,533.50
4. Step 4: Simplify right side
   45,688.50x = 4,696,840,622.25
5. Step 5: Solve for x
   x = 4,696,840,622.25/45,688.50
6. Step 6: Final answer
   x = 102,801.38