Finding the Third Proportional to 29,563.50 and 64,045.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,563.50 : 64,045.50 = 64,045.50 : x
2. Step 2: Convert to fraction form
   29,563.50/64,045.50 = 64,045.50/x
3. Step 3: Cross multiply
   29,563.50x = 64,045.50 × 64,045.50
4. Step 4: Simplify right side
   29,563.50x = 4,101,826,070.25
5. Step 5: Solve for x
   x = 4,101,826,070.25/29,563.50
6. Step 6: Final answer
   x = 138,746.29