Finding the Third Proportional to 42,463.50 and 63,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,463.50 : 63,688.50 = 63,688.50 : x
2. Step 2: Convert to fraction form
   42,463.50/63,688.50 = 63,688.50/x
3. Step 3: Cross multiply
   42,463.50x = 63,688.50 × 63,688.50
4. Step 4: Simplify right side
   42,463.50x = 4,056,225,032.25
5. Step 5: Solve for x
   x = 4,056,225,032.25/42,463.50
6. Step 6: Final answer
   x = 95,522.63