Finding the Third Proportional to 29,827.50 and 64,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,827.50 : 64,222.50 = 64,222.50 : x
2. Step 2: Convert to fraction form
   29,827.50/64,222.50 = 64,222.50/x
3. Step 3: Cross multiply
   29,827.50x = 64,222.50 × 64,222.50
4. Step 4: Simplify right side
   29,827.50x = 4,124,529,506.25
5. Step 5: Solve for x
   x = 4,124,529,506.25/29,827.50
6. Step 6: Final answer
   x = 138,279.42