Finding the Third Proportional to 29,493 and 63,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,493 : 63,688.50 = 63,688.50 : x
2. Step 2: Convert to fraction form
   29,493/63,688.50 = 63,688.50/x
3. Step 3: Cross multiply
   29,493x = 63,688.50 × 63,688.50
4. Step 4: Simplify right side
   29,493x = 4,056,225,032.25
5. Step 5: Solve for x
   x = 4,056,225,032.25/29,493
6. Step 6: Final answer
   x = 137,531.79