Finding the Third Proportional to 32,577.19 and 64,972.13

Step by Step Solution

1. Step 1: Write the proportion equation
   32,577.19 : 64,972.13 = 64,972.13 : x
2. Step 2: Convert to fraction form
   32,577.19/64,972.13 = 64,972.13/x
3. Step 3: Cross multiply
   32,577.19x = 64,972.13 × 64,972.13
4. Step 4: Simplify right side
   32,577.19x = 4,221,377,027.02
5. Step 5: Solve for x
   x = 4,221,377,027.02/32,577.19
6. Step 6: Final answer
   x = 129,580.77