Finding the Third Proportional to 29,407.50 and 64,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,407.50 : 64,102.50 = 64,102.50 : x
2. Step 2: Convert to fraction form
   29,407.50/64,102.50 = 64,102.50/x
3. Step 3: Cross multiply
   29,407.50x = 64,102.50 × 64,102.50
4. Step 4: Simplify right side
   29,407.50x = 4,109,130,506.25
5. Step 5: Solve for x
   x = 4,109,130,506.25/29,407.50
6. Step 6: Final answer
   x = 139,730.70