Finding the Third Proportional to 66,410 and 101,633.25

Step by Step Solution

1. Step 1: Write the proportion equation
   66,410 : 101,633.25 = 101,633.25 : x
2. Step 2: Convert to fraction form
   66,410/101,633.25 = 101,633.25/x
3. Step 3: Cross multiply
   66,410x = 101,633.25 × 101,633.25
4. Step 4: Simplify right side
   66,410x = 10,329,317,505.56
5. Step 5: Solve for x
   x = 10,329,317,505.56/66,410
6. Step 6: Final answer
   x = 155,538.59